{"id":37383,"date":"2022-04-01T09:30:40","date_gmt":"2022-04-01T04:00:40","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=37383"},"modified":"2022-04-07T11:13:18","modified_gmt":"2022-04-07T05:43:18","slug":"big-ideas-math-algebra-2-answers-chapter-11","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-2-answers-chapter-11\/","title":{"rendered":"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics"},"content":{"rendered":"<p><b>Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics<\/b> assists students to learn strong fundamentals of concepts jotted down in this chapter. Download the BIM Algebra 2\u00a0Solution Book of Ch 11 Pdf for free of cost and kickstart your preparation with the related lessons of Data Analysis and Statistics. These BigIdeas Math Algebra 2 Chapter 11 Solution Key is aligned according to the Common Core Standards BIM Textbooks by experienced subject professionals. Hence, you can solve all the concepts of Data Analysis and Statistics questions during homework, assignments, alongside in the exams with utmost confidence.<\/p>\n<h2 class=\"entry-title\">Big Ideas Math Book Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics<\/h2>\n<p>After doing deep research and meets the Common Core Curriculum, subject experts solved the questions covered in<a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-2-answers\/\"> Big Ideas Math Book Algebra 2 Solutions<\/a> Chapter 11 Data Analysis and Statistics in an explanative manner. With the help of step-by-step explanative solutions, students can easily grasp the concepts and memorize the method to solve the rest of the questions. So, simply click on the below available links for downloading the<strong> BIM Textbook Algebra 2 Ch 11 Data Analysis and Statistics<\/strong> and clarify your queries regarding the subject in seconds.<\/p>\n<ul>\n<li><a href=\"#Data_Analysis_and_Statistics_Maintaining_Mathematical_Proficiency\">Data Analysis and Statistics Maintaining Mathematical Proficiency &#8211; Page 593<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Statistics_Mathematical_Practices\">Data Analysis and Statistics Mathematical Practices &#8211; Page 594<\/a><\/li>\n<li><a href=\"#Lesson_11.1_Using_Normal_Distributions\">Lesson 11.1 Using Normal Distributions &#8211; Page(597-602)<\/a><\/li>\n<li><a href=\"#Using_Normal_Distributions_11.1_Exercises\">Using Normal Distributions 11.1 Exercises &#8211; Page(600 &#8211; 602)<\/a><\/li>\n<li><a href=\"#Lesson_11.2_Populations,_Samples,_and_Hypotheses\">Lesson 11.2 Populations, Samples, and Hypotheses &#8211; Page(603 &#8211; 608)<\/a><\/li>\n<li><a href=\"#Populations,_Samples,_and_Hypotheses_11.2_Exercises\">Populations, Samples, and Hypotheses 11.2 Exercises &#8211; Page(607 &#8211; 608)<\/a><\/li>\n<li><a href=\"#Lesson_11.3_Collecting_Data\">Lesson 11.3 Collecting Data &#8211; Page(609 &#8211; 616)<\/a><\/li>\n<li><a href=\"#Collecting_Data_11.3_Exercises\">Collecting Data 11.3 Exercises &#8211; Page(614 &#8211; 616)<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Statistics_Study_Skills:_Reworking_Your_Notes\">Data Analysis and Statistics Study Skills: Reworking Your Notes &#8211; Page 617<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Statistics_11.1\u201311.3_Quiz\">Data Analysis and Statistics 11.1\u201311.3 Quiz &#8211; Page 618<\/a><\/li>\n<li><a href=\"#Lesson_11.4_Experimental_Design\">Lesson 11.4 Experimental Design &#8211; Page(619 &#8211; 624)<\/a><\/li>\n<li><a href=\"#Experimental_Design_11.4_Exercises\">Experimental Design 11.4 Exercises &#8211; Page(623 &#8211; 624)<\/a><\/li>\n<li><a href=\"#Lesson_11.5_Making_Inferences_from_Sample_Surveys\">Lesson 11.5 Making Inferences from Sample Surveys &#8211; Page(625 &#8211; 632)<\/a><\/li>\n<li><a href=\"#Making_Inferences_from_Sample_Surveys_11.5_Exercises\">Making Inferences from Sample Surveys 11.5 Exercises &#8211; Page(630 &#8211; 632)<\/a><\/li>\n<li><a href=\"#Lesson_11.6_Making_Inferences_from_Experiments\">Lesson 11.6 Making Inferences from Experiments &#8211; Page(633 &#8211; 638)<\/a><\/li>\n<li><a href=\"#Making_Inferences_from_Experiments_11.6_Exercises\">Making Inferences from Experiments 11.6 Exercises &#8211; Page(637 &#8211; 638)<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Statistics_Performance_Task:_Curving_the_Test\">Data Analysis and Statistics Performance Task: Curving the Test &#8211; Page 639<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Statistics_Chapter_Review\">Data Analysis and Statistics Chapter Review &#8211; Page(640 &#8211; 642)<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Statistics_Chapter_Test\">Data Analysis and Statistics Chapter Test &#8211; Page 643<\/a><\/li>\n<li><a href=\"#Data_Analysis_and_Statistics_Cumulative_Assessment\">Data Analysis and Statistics Cumulative Assessment &#8211; Page(644 &#8211; 646)<\/a><\/li>\n<\/ul>\n<h3><a id=\"Data_Analysis_and_Statistics_Maintaining_Mathematical_Proficiency\"><\/a>Data Analysis and Statistics Maintaining Mathematical Proficiency<\/h3>\n<p>Find the mean, median, and mode of the data set. Then determine which measure of center best represents the data. Explain.<br \/>\nQuestion 1.<br \/>\n36, 82, 94, 83, 86, 82<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n74, 89, 71, 70, 68, 70<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n1, 18, 12, 16, 11, 15, 17, 44, 44<br \/>\nAnswer:<\/p>\n<p><strong>Find and interpret the standard deviation of the data set.<\/strong><br \/>\nQuestion 4.<br \/>\n43, 48, 41, 51, 42<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n28, 26, 21, 44, 29, 32<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n65, 56, 49, 66, 62, 52, 53, 49<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n<strong>ABSTRACT REASONING<\/strong><br \/>\nDescribe a data set that has a standard deviation of zero. Can a standard deviation be negative? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Data_Analysis_and_Statistics_Mathematical_Practices\"><\/a>Data Analysis and Statistics Mathematical Practices<\/h3>\n<p>Mathematically proficient students use diagrams and graphs to show relationships between data. They also analyze data to draw conclusions.<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Use the Internet or some other reference to determine which age pyramid is that of Canada, Japan, and Mexico. Compare the mean, median, and mode of the three age pyramids.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37388\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 1\" width=\"225\" height=\"193\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37389\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-2.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 2\" width=\"199\" height=\"183\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37390\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-3.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 3\" width=\"204\" height=\"181\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.1_Using_Normal_Distributions\"><\/a>Lesson 11.1 Using Normal Distributions<\/h3>\n<p><strong>Essential Question<\/strong> In a normal distribution, about what percent of the data lies within one, two, and three standard deviations of the mean?<br \/>\nRecall that the standard deviation \u03c3 of a numerical data set is given by<br \/>\n\u03c3 = \\(\\sqrt{\\frac{\\left(x_{1}-\\mu\\right)^{2}+\\left(x_{2}-\\mu\\right)^{2}+\\cdots+\\left(x_{n}-\\mu\\right)^{2}}{n}}\\)<br \/>\nwhere n is the number of values in the data set and \u03bc is the mean of the data set.<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Analyzing a Normal Distribution<br \/>\nWork with a partner. In many naturally occurring data sets, the histogram of the data is bell-shaped. In statistics, such data sets are said to have a normal distribution. For the normal distribution shown below, estimate the percent of the data that lies within one, two, and three standard deviations of the mean. Each square on the grid represents 1%.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37391\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 1\" width=\"419\" height=\"192\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-1.png 419w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-1-300x137.png 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Analyzing a Data Set<br \/>\nWork with a partner. A famous data set was collected in Scotland in the mid-1800s. It contains the chest sizes (in inches) of 5738 men in the Scottish Militia. Do the data fit a normal distribution? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37392\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-2.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 2\" width=\"524\" height=\"467\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-2.png 524w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-2-300x267.png 300w\" sizes=\"(max-width: 524px) 100vw, 524px\" \/><\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nIn a normal distribution, about what percent of the data lies within one, two, and three standard deviations of the mean?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nUse the Internet or some other reference to find another data set that is normally distributed. Display your data in a histogram.<br \/>\nAnswer:<\/p>\n<p>A normal distribution has mean \u03bc and standard deviation \u03c3. Find the indicated probability for a randomly selected x-value from the distribution.<br \/>\nQuestion 1.<br \/>\nP(x \u2264 \u03bc)<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nP(x \u2265 \u03bc)<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nP(\u03bc \u2264 x \u2264 \u03bc + 2\u03c3)<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nP(\u03bc \u2212 \u03c3 \u2264 x \u2264 \u03bc)<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nP(x \u2264 \u03bc \u2212 3\u03c3)<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nP(x \u2265 \u03bc + \u03c3)<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n<strong>WHAT IF?<\/strong><br \/>\nIn Example 2, about what percent of the people taking the test have scores between 43 and 79?<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\n<strong>WHAT IF?<\/strong><br \/>\nIn Example 3, what is the probability that the infant weighs 3990 grams or more?<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nExplain why it makes sense that P(z \u2264 0) = 0.5.<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\nDetermine whether the histogram has a normal distribution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37393\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-3.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 3\" width=\"269\" height=\"195\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Using_Normal_Distributions_11.1_Exercises\"><\/a>Using Normal Distributions 11.1 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><br \/>\nQuestion 1.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe how to use the standard normal table to find P(z \u2264 1.4).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44406\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 1\" width=\"582\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-1.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-1-300x34.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WHICH ONE DOESN\u2019T BELONG?<\/strong><br \/>\nWhich histogram does not belong with the other three? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37394\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-4.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 4\" width=\"582\" height=\"126\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-4.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-4-300x65.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>ATTENDING TO PRECISION<\/strong> In Exercises 3\u20136, give the percent of the area under the normal curve represented by the shaded region(s).<br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37395\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-5.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 5\" width=\"214\" height=\"105\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44407\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-3.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 3\" width=\"400\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-3.png 400w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-3-300x41.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37396\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-6.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 6\" width=\"234\" height=\"125\" \/><br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37397\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-7.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 7\" width=\"235\" height=\"134\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44408\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-5.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 5\" width=\"479\" height=\"32\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-5.png 479w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-5-300x20.png 300w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37398\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-8.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 8\" width=\"239\" height=\"135\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 7\u201312, a normal distribution has mean \u03bc and standard deviation \u03c3. Find the indicated probability for a randomly selected x-value from the distribution.<\/strong><br \/>\nQuestion 7.<br \/>\nP(x \u2264 \u03bc \u2212 \u03c3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44409\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-7.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 7\" width=\"557\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-7.png 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-7-300x47.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/p>\n<p>Question 8.<br \/>\nP(x \u2265 \u03bc \u2212 \u03c3)<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nP(x \u2265 \u03bc + 2\u03c3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44410\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-9.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 9\" width=\"551\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-9.png 551w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-9-300x34.png 300w\" sizes=\"(max-width: 551px) 100vw, 551px\" \/><\/p>\n<p>Question 10.<br \/>\nP(x \u2264 \u03bc + \u03c3)<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nP(\u03bc \u2212 \u03c3 \u2264 x \u2264 \u03bc + \u03c3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44411\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-11.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 11\" width=\"569\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-11.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-11-300x43.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 12.<br \/>\nP(\u03bc \u2212 3\u03c3 \u2264 x \u2264 \u03bc)<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 13\u201318, a normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval.<\/strong><br \/>\nQuestion 13.<br \/>\nbetween 29 and 37<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44412\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-13.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 13\" width=\"519\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-13.png 519w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-13-300x51.png 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><\/p>\n<p>Question 14.<br \/>\nbetween 33 and 45<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\nat least 25<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44413\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-15.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 15\" width=\"546\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-15.png 546w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-15-300x34.png 300w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><\/p>\n<p>Question 16.<br \/>\nat least 29<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\nat most 37<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44414\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-17.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 17\" width=\"539\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-17.png 539w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-17-300x34.png 300w\" sizes=\"(max-width: 539px) 100vw, 539px\" \/><\/p>\n<p>Question 18.<br \/>\nat most 21<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe wing lengths of houseflies are normally distributed with a mean of 4.6 millimeters and a standard deviation of 0.4 millimeter.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37399\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-9.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 9\" width=\"176\" height=\"168\" \/><br \/>\na. About what percent of houseflies have wing lengths between 3.8 millimeters and 5.0 millimeters?<br \/>\nb. About what percent of houseflies have wing lengths longer than 5.8 millimeters?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44416\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-19.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 19\" width=\"573\" height=\"206\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-19.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-19-300x108.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a standard deviation of 1 minute.<br \/>\na. For about what percent of emergencies does the fire department arrive at the scene in 8 minutes or less?<br \/>\nb. The goal of the fire department is to reach the scene of an emergency in 5 minutes or less. About what percent of the time does the fire department achieve its goal?<br \/>\nAnswer:<\/p>\n<p><strong>ERROR ANALYSIS<\/strong> In Exercises 21 and 22, a normal distribution has a mean of 25 and a standard deviation of 2. Describe and correct the error in finding the probability that a randomly selected x-value is in the given interval.<br \/>\nQuestion 21.<br \/>\nbetween 23 and 27<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37400\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-10.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 10\" width=\"305\" height=\"172\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-10.png 305w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-10-300x169.png 300w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44417\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-21.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 21\" width=\"570\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-21.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-21-300x99.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 22.<br \/>\nat least 21<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37401\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-11.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 11\" width=\"304\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-11.png 304w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-11-300x176.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nA busy time to visit a bank is during its Friday evening rush hours. For these hours, the waiting times at the drive-through window are normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. You have no more than 11 minutes to do your banking and still make it to your meeting on time. What is the probability that you will be late for the meeting?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44418\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-23.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 23\" width=\"563\" height=\"223\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-23.png 563w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-23-300x119.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/p>\n<p>Question 24.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nScientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey. The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals. Find the probability that at most 50 seals were observed during a randomly chosen survey.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37402\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-12.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 12\" width=\"274\" height=\"142\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 25 and 26, determine whether the histogram has a normal distribution.<\/strong><br \/>\nQuestion 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37403\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-13.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 13\" width=\"292\" height=\"226\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44419\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-25.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 25\" width=\"329\" height=\"37\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-25.png 329w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-25-300x34.png 300w\" sizes=\"(max-width: 329px) 100vw, 329px\" \/><\/p>\n<p>Question 26.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37404\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-14.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 14\" width=\"308\" height=\"196\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-14.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-14-300x191.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<strong>ANALYZING RELATIONSHIPS<\/strong><br \/>\nThe table shows the numbers of tickets that are sold for various baseball games in a league over an entire season. Display the data in a histogram. Do the data fit a normal distribution? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37405\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-15.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 15\" width=\"194\" height=\"204\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44420\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-27.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 27\" width=\"584\" height=\"395\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-27.png 584w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-27-300x203.png 300w\" sizes=\"(max-width: 584px) 100vw, 584px\" \/><\/p>\n<p>Question 28.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe guayule plant, which grows in the southwestern United States and in Mexico, is one of several plants that can be used as a source of rubber. In a large group of guayule plants, the heights of the plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37406\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-16.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 16\" width=\"273\" height=\"156\" \/><br \/>\na. What percent of the plants are taller than 16 inches?<br \/>\nb. What percent of the plants are at most 13 inches?<br \/>\nc. What percent of the plants are between 7 inches and 14 inches?<br \/>\nd. What percent of the plants are at least 3 inches taller than or at least 3 inches shorter than the mean height?<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\n<strong>REASONING<\/strong><br \/>\nBoxes of cereal are filled by a machine. Tests show that the amount of cereal in each box varies. The weights are normally distributed with a mean of 20 ounces and a standard deviation of 0.25 ounce. Four boxes of cereal are randomly chosen.<br \/>\na. What is the probability that all four boxes contain no more than 19.4 ounces of cereal?<br \/>\nb. Do you think the machine is functioning properly? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44421\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-29.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 29\" width=\"540\" height=\"247\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-29.png 540w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-29-300x137.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><\/p>\n<p>Question 30.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nSketch the graph of the standard normal distribution function, given by<br \/>\nf (x) = \\(\\frac{1}{\\sqrt{2} \\pi}\\)e<sup>\u2212x<sup>2\/2<\/sup><\/sup>.<br \/>\nEstimate the area of the region bounded by the x-axis, the graph of f, and the vertical lines x =\u22123 and x = 3.<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n<strong>REASONING<\/strong><br \/>\nFor normally distributed data, describe the value that represents the 84th percentile in terms of the mean and standard deviation.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44422\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-31.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 31\" width=\"555\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-31.png 555w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-31-300x32.png 300w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<p>Question 32.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nIn the figure, the shaded region represents 47.5% of the area under a normal curve. What are the mean and standard deviation of the normal distribution?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37407\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-17.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 17\" width=\"285\" height=\"128\" \/><br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nYou take both the SAT (Scholastic Aptitude Test) and the ACT (American College Test). You score 650 on the mathematics section of the SAT and 29 on the mathematics section of the ACT. The SAT test scores and the ACT test scores are each normally distributed. For the SAT, the mean is 514 and the standard deviation is 118. For the ACT, the mean is 21.0 and the standard deviation is 5.3.<br \/>\na. What percentile is your SAT math score?<br \/>\nb. What percentile is your ACT math score?c. On which test did you perform better? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44423\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-33.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 33\" width=\"568\" height=\"268\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-33.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-33-300x142.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 34.<br \/>\n<strong>WRITING<\/strong><br \/>\nExplain how you can convert ACT scores into corresponding SAT scores when you know the mean and standard deviation of each distribution.<br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nA data set has a median of 80 and a mean of 90. Your friend claims that the distribution of the data is skewed left. Is your friend correct? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44424\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-35.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 35\" width=\"584\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-35.png 584w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-35-300x32.png 300w\" sizes=\"(max-width: 584px) 100vw, 584px\" \/><\/p>\n<p>Question 36.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nThe average scores on a statistics test are normally distributed with a mean of 75 and a standard deviation of 10. You randomly select a test score x. Find P (\u2223x\u2212\u03bc\u2223\u2265 15 ).<br \/>\nAnswer:<\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p>Graph the function. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the intervals for which the function is increasing or decreasing.<br \/>\nQuestion 37.<br \/>\nf(x) = x<sup>3<\/sup> \u2212 4x<sup>2<\/sup>+ 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-37.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 37\" width=\"568\" height=\"355\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-37.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-37-300x188.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 38.<br \/>\ng(x) = \\(\\frac{1}{4}\\)x<sup>4<\/sup> \u2212 2x<sup>2<\/sup>\u2212x \u2212 3<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\nh(x) = \u22120.5x<sup>2<\/sup>+ 3x + 7<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44426\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-39.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.1 a 39\" width=\"528\" height=\"349\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-39.png 528w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.1-a-39-300x198.png 300w\" sizes=\"(max-width: 528px) 100vw, 528px\" \/><\/p>\n<p>Question 40.<br \/>\nf(x) = \u2212x<sup>4<\/sup> + 6x<sup>2<\/sup> \u2212 13<br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.2_Populations,_Samples,_and_Hypotheses\"><\/a>Lesson 11.2 Populations, Samples, and Hypotheses<\/h3>\n<p><strong>Essential Question<\/strong> How can you test theoretical probability using sample data?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Using Sample Data<br \/>\nWork with a partner.<br \/>\na. When two six-sided dice are rolled, what is the theoretical probability that you roll the same number on both dice?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37408\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 1\" width=\"179\" height=\"117\" \/><br \/>\nb. Conduct an experiment to check your answer in part (a). What sample size did you use? Explain your reasoning.<br \/>\nc. Use the dice rolling simulator at BigIdeasMath.com to complete the table. Do your experimental data check the theoretical probability you found in part (a)? Explain. What happens as you increase the sample size?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37409\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 2\" width=\"682\" height=\"265\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-2.png 682w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-2-300x117.png 300w\" sizes=\"(max-width: 682px) 100vw, 682px\" \/><\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Using Sample Data<br \/>\nWork with a partner.<br \/>\na. When three six-sided dice are rolled, what is the theoretical probability that you roll the same number on all three dice?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37410\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 3\" width=\"235\" height=\"142\" \/><br \/>\nb. Compare the theoretical probability you found in part (a) with the theoretical probability you found in Exploration 1(a).<br \/>\nc. Conduct an experiment to check your answer in part (a). How does adding a die affect the sample size that you use? Explain your reasoning.<br \/>\nd. Use the dice rolling simulator at BigIdeasMath.com to check your answer to part (a). What happens as you increase the sample size?<\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nHow can you test theoretical probability using sample data?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nConduct an experiment to determine the probability of rolling a sum of 7 when two six-sided dice are rolled. Then find the theoretical probability and compare your answers.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>In Monitoring Progress Questions 1 and 2, identify the population and the sample.<br \/>\nQuestion 1.<br \/>\nTo estimate the retail prices for three grades of gasoline sold in the United States, the Energy Information Association calls 800 retail gasoline outlets, records the prices, and then determines the average price for each grade.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nA survey of 4464 shoppers in the United States found that they spent an average of $407.02 from Thursday through Sunday during a recent Thanksgiving holiday.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nA survey found that the median salary of 1068 statisticians is about $72,800. Is the median salary a parameter or a statistic? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nThe mean age of U.S. representatives at the start of the 113th Congress was about 57 years. Is the mean age a parameter or a statistic? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n<strong>WHAT IF?<\/strong><br \/>\nIn Example 3, what should you conclude when you roll the actual die 50 times and get (a) 24 odd numbers and (b) 31 odd numbers?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Populations,_Samples,_and_Hypotheses_11.2_Exercises\"><\/a>Populations, Samples, and Hypotheses 11.2 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><br \/>\nQuestion 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nA portion of a population that can be studied in order to make predictions about the entire population is a(n) ___________.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44427\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 1\" width=\"569\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-1.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-1-300x32.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe the difference between a parameter and a statistic. Give an example of each.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nWhat is a hypothesis in statistics?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44428\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 3\" width=\"585\" height=\"63\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-3.png 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-3-300x32.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe two ways you can make an incorrect decision when analyzing a hypothesis.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>In Exercises 5\u20138, determine whether the data are collected from a population or a sample. Explain your reasoning.<\/strong><br \/>\nQuestion 5.<br \/>\nthe number of high school students in the United States<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44429\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-5.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 5\" width=\"576\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-5.png 576w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-5-300x28.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><\/p>\n<p>Question 6.<br \/>\nthe color of every third car that passes your house<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\na survey of 100 spectators at a sporting event with 1800 spectators<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44430\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-7.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 7\" width=\"561\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-7.png 561w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-7-300x33.png 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Question 8.<br \/>\nthe age of each dentist in the United States<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 9\u201312, identify the population and sample. Describe the sample.<\/strong><br \/>\nQuestion 9.<br \/>\nIn the United States, a survey of 1152 adults ages 18 and over found that 403 of them pretend to use their smartphones to avoid talking to someone.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37411\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-4.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 4\" width=\"189\" height=\"118\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44431\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-9.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 9\" width=\"560\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-9.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-9-300x77.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 10.<br \/>\nIn the United States, a survey of 1777 adults ages 18 and over found that 1279 of them do some kind of spring cleaning every year.<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nIn a school district, a survey of 1300 high school students found that 1001 of them like the new, healthy cafeteria food choices.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44432\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-11.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 11\" width=\"567\" height=\"166\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-11.png 567w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-11-300x88.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>Question 12.<br \/>\nIn the United States, a survey of 2000 households with at least one child found that 1280 of them eat dinner together every night.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37412\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-5.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 5\" width=\"170\" height=\"118\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 13\u201316, determine whether the numerical value is a parameter or a statistic. Explain your reasoning.<\/strong><br \/>\nQuestion 13.<br \/>\nThe average annual salary of some physical therapists in a state is $76,210.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37413\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-6.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 6\" width=\"126\" height=\"115\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44433\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-13.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 13\" width=\"564\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-13.png 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-13-300x31.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><\/p>\n<p>Question 14.<br \/>\nIn a recent year, 53% of the senators in the United States Senate were Democrats.<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\nSeventy-three percent of all the students in a school would prefer to have school dances on Saturday.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44434\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-15.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 15\" width=\"577\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-15.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-15-300x32.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 16.<br \/>\nA survey of U.S. adults found that 10% believe a cleaning product they use is not safe for the environment.<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nA survey of 1270 high school students found that 965 students felt added stress because of their workload. Describe and correct the error in identifying the population and the sample.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37414\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-7.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 7\" width=\"323\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-7.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-7-300x90.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44435\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-17.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 17\" width=\"532\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-17.png 532w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-17-300x38.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nOf all the players on a National Football League team, the mean age is 26 years. Describe and correct the error in determining whether the mean age represents a parameter or statistic. Because the mean age of 26 is based only on one football team, it is a statistic.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37415\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-8.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 8\" width=\"316\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-8.png 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-8-300x68.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nYou flip a coin 4 times and do not get a tails. You suspect this coin favors heads. The coin maker claims that the coin doesnot favor heads or tails. You simulate flipping the coin 50 times by repeatedly drawing 200 random samples of size 50. The histogram shows the results. What should you conclude when you flip the actual coin 50 times and get (a) 27 heads and (b) 33 heads?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37416\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-9.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 9\" width=\"348\" height=\"196\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-9.png 348w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-9-300x169.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44436\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-19.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 19\" width=\"549\" height=\"305\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-19.png 549w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-19-300x167.png 300w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nUse the histogram in Exercise 19 to determine what you should conclude when you flip the actual coin 50 times and get (a) 17 heads and (b) 23 heads.<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nA random sample of five people at a movie theater from a population of 200 people gave the film 4 out of 4 stars. Your friend concludes that everyone in the movie theater would give the film 4 stars. Is your friend correct? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44437\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-21.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 21\" width=\"580\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-21.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-21-300x46.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 22.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nUse the Venn diagram to identify the population and sample. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37417\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-10.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 10\" width=\"227\" height=\"116\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nFind a newspaper or magazine article that describes a survey. Identify the population and sample. Describe the sample.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44438\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-23.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 23\" width=\"580\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-23.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-23-300x76.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 24.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nYou choose a random sample of 200 from a population of 2000. Each person in the sample is asked how many hours of sleep he or she gets each night. The mean of your sample is 8 hours. Is it possible that the mean of the entire population is only 7.5 hours of sleep each night? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nYou perform two simulations of repeatedly selecting a marble out of a bag with replacement that contains three red marbles and three blue marbles. The first simulation uses 20 random samples of size 10, and the second uses 400 random samples of size 10. The histograms show the results. Which simulation should you use to accurately analyze a hypothesis? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37418\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-11.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 11\" width=\"278\" height=\"384\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-11.png 278w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-11-217x300.png 217w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44439\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-25.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 25\" width=\"574\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-25.png 574w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-25-300x31.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 26.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nYou roll an eight-sided die five times and get a four every time. You suspect that the die favors the number four. The die maker claims that the die does not favor any number.<br \/>\na. Perform a simulation involving 50 trials of rolling the actual die and getting a four to test the die maker\u2019s claim. Display the results in a histogram.<br \/>\nb. What should you conclude when you roll the actual die 50 times and get 20 fours? 7 fours?<br \/>\nAnswer:<\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p><strong>Solve the equation by completing the square.<\/strong><br \/>\nQuestion 27.<br \/>\nx<sup>2<\/sup>\u2212 10x \u2212 4 = 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44440\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-27.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 27\" width=\"490\" height=\"267\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-27.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-27-300x163.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><\/p>\n<p>Question 28.<br \/>\n3t<sup>2<\/sup> + 6t = 18<br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\ns<sup>2<\/sup> + 10s + 8 = 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44441\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-29.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 29\" width=\"522\" height=\"267\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-29.png 522w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-29-300x153.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p>\n<p><strong>Solve the equation using the Quadratic Formula.<\/strong><br \/>\nQuestion 30.<br \/>\nn<sup>2<\/sup>+ 2n + 2 = 0<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\n4z<sup>2<\/sup> + 28z = 15<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44442\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-31.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics 11.2 a 31\" width=\"441\" height=\"361\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-31.png 441w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-11.2-a-31-300x246.png 300w\" sizes=\"(max-width: 441px) 100vw, 441px\" \/><\/p>\n<p>Question 32.<br \/>\n5w \u2212 w<sup>2<\/sup> = \u221211<br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.3_Collecting_Data\"><\/a>Lesson 11.3 Collecting Data<\/h3>\n<p><strong>Essential Question<\/strong> What are some considerations when undertaking a statistical study? The goal of any statistical study is to collect data and then use the data to make a decision. Any decision you make using the results of a statistical study is only as reliable as the process used to obtain the data. If the process is flawed, then the resulting decision is questionable.<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Analyzing Sampling Techniques<br \/>\nWork with a partner. Determine whether each sample is representative of the population. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37419\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-1.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 1\" width=\"214\" height=\"175\" \/><br \/>\na. To determine the number of hours people exercise during a week, researchers use random-digit dialing and call 1500 people.<br \/>\nb. To determine how many text messages high school students send in a week, researchers post a survey on a website and receive 750 responses.<br \/>\nc. To determine how much money college students spend on clothes each semester,a researcher surveys 450 college students as they leave the university library.<br \/>\nd. To determine the quality of service customers receive, an airline sends an e-mail survey to each customer after the completion of a flight.<\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Analyzing Survey Questions<br \/>\nWork with a partner. Determine whether each survey question is biased. Explain your reasoning. If so, suggest an unbiased rewording of the question.<br \/>\na. Does eating nutritious, whole-grain foods improve your health?<br \/>\nb. Do you ever attempt the dangerous activity of texting while driving?<br \/>\nc. How many hours do you sleep each night?<br \/>\nd. How can the mayor of your city improve his or her public image?<\/p>\n<p><strong>EXPLORATION 3<\/strong><\/p>\n<p>Analyzing Survey Randomness and Truthfulness<br \/>\nWork with a partner. Discuss each potential problem in obtaining a random survey of a population. Include suggestions for overcoming the problem.<br \/>\na. The people selected might not be a random sample of the population.<br \/>\nb. The people selected might not be willing to participate in the survey.<br \/>\nc. The people selected might not be truthful when answering the question.<br \/>\nd. The people selected might not understand the survey question.<\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 4.<br \/>\nWhat are some considerations when undertaking a statistical study?<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nFind a real-life example of a biased survey question. Then suggest an unbiased rewording of the question.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\nWHAT IF?<br \/>\nIn Example 1, you divide the students in your school according to their zip codes, then select all of the students that live in one zip code. What type of sample are you using?<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nDescribe another method you can use to obtain a stratified sample in Example 1.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nThe manager of a concert hall wants to know how often people in the community attend concerts. The manager asks 45 people standing in line for a rock concert how many concerts they attend per year. Identify the type of sample the manager is using and explain why the sample is biased.<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nIn Example 3, what is another method you can use to generate a random sample of 50 students? Explain why your sampling method is random.<br \/>\nAnswer:<\/p>\n<p><strong>Identify the method of data collection the situation describes.<\/strong><br \/>\nQuestion 5.<br \/>\nMembers of a student council at your school ask every eighth student who enters the cafeteria whether they like the snacks in the school\u2019s vending machines.<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nA park ranger measures and records the heights of trees in a park as they grow.<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nA researcher uses a computer program to help determine how fast an influenza virus might spread within a city.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nExplain why the survey question below may be biased or otherwise introduce bias into the survey. Then describe a way to correct the flaw.<br \/>\n\u201cDo you agree that our school cafeteria should switch to a healthier menu?\u201d<br \/>\nAnswer:<\/p>\n<h3><a id=\"Collecting_Data_11.3_Exercises\"><\/a>Collecting Data 11.3 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><br \/>\nQuestion 1.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nDescribe the difference between a stratified sample and a cluster sample.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44443\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-1.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 1\" width=\"592\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-1.png 592w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-1-300x56.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nA sample for which each member of a population has an equal chance of being selected is a(n) __________ sample.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe a situation in which you would use a simulation to collect data.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44444\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-3.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 3\" width=\"582\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-3.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-3-300x42.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe the difference between an unbiased sample and a biased sample. Give one example of each.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p><strong>In Exercises 5\u20138, identify the type of sample described.<\/strong><br \/>\nQuestion 5.<br \/>\nThe owners of a chain of 260 retail stores want to assess employee job satisfaction. Employees from 12 stores near the headquarters are surveyed.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44445\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-5.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 5\" width=\"581\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-5.png 581w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-5-300x31.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Question 6.<br \/>\nEach employee in a company writes their name on a card and places it in a hat. The employees whose names are on the first two cards drawn each win a gift card.<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nA taxicab company wants to know whether its customers are satisfied with the service. Drivers survey every tenth customer during the day.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44446\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-7.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 7\" width=\"575\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-7.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-7-300x31.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 8.<br \/>\nThe owner of a community pool wants to ask patrons whether they think the water should be colder. Patrons are divided into four age groups, and a sample is randomly surveyed from each age group.<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 9\u201312, identify the type of sample and explain why the sample is biased.<\/strong><br \/>\nQuestion 9.<br \/>\nA town council wants to know whether residents support having an off-leash area for dogs in the town park. Eighty dog owners are surveyed at the park.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37420\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-2.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 2\" width=\"271\" height=\"156\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44447\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-9.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 9\" width=\"583\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-9.png 583w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-9-300x60.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 10.<br \/>\nA sportswriter wants to determine whether baseball coaches think wooden bats should be mandatory in collegiate baseball. The sportswriter mails surveys to all collegiate coaches and uses the surveys that are returned.<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nYou want to find out whether booth holders at a convention were pleased with their booth locations. You divide the convention center into six sections and survey every booth holder in the fifth section.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44448\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-11.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 11\" width=\"585\" height=\"136\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-11.png 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-11-300x70.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p>Question 12.<br \/>\nEvery tenth employee who arrives at a company health fair answers a survey that asks for opinions about new health-related programs.<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nSurveys are mailed to every other household in a neighborhood. Each survey that is returned is used. Describe and correct the error in identifying the type of sample that is used.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37421\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-3.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 3\" width=\"338\" height=\"74\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-3.png 338w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-3-300x66.png 300w\" sizes=\"(max-width: 338px) 100vw, 338px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44449\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-13.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 13\" width=\"576\" height=\"125\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-13.png 576w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-13-300x65.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><\/p>\n<p>Question 14.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nA researcher wants to know whether the U.S. workforce supports raising the minimum wage. Fifty high school students chosen at random are surveyed. Describe and correct the error in determining whether the sample is biased.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37422\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-4.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 4\" width=\"346\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-4.png 346w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-4-300x61.png 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 15\u201318, determine whether the sample is biased. Explain your reasoning.<\/strong><br \/>\nQuestion 15.<br \/>\nEvery third person who enters an athletic event is asked whether he or she supports the use of instant replay in officiating the event.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44450\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-15.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 15\" width=\"560\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-15.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-15-300x33.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 16.<br \/>\nA governor wants to know whether voters in the state support building a highway that will pass through a state forest. Business owners in a town near the proposed highway are randomly surveyed.<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\nTo assess customers\u2019 experiences making purchases online, a rating company e-mails purchasers and asks that they click on a link and complete a survey.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44451\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-17.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 17\" width=\"552\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-17.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-17-300x45.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 18.<br \/>\nYour school principal randomly selects five students from each grade to complete a survey about classroom participation.<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>WRITING<\/strong><br \/>\nThe staff of a student newsletter wants to conduct a survey of the students\u2019 favorite television shows. There are 1225 students in the school. Describe a method for selecting a random sample of 250 students to survey.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37423\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-5.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 5\" width=\"132\" height=\"110\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44452\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-19.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 19\" width=\"595\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-19.png 595w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-19-300x73.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>WRITING<\/strong><br \/>\nA national collegiate athletic association wants to survey 15 of the 120 head football coaches in a division about a proposed rules change. Describe a method for selecting a random sample of coaches to survey.<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 21\u201324, identify the method of data collection the situation describes.<\/strong><br \/>\nQuestion 21.<br \/>\nA researcher uses technology to estimate the damage that will be done if a volcano erupts.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37424\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-6.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 6\" width=\"287\" height=\"175\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44453\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-21.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 21\" width=\"583\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-21.png 583w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-21-300x29.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 22.<br \/>\nThe owner of a restaurant asks 20 customers whether they are satisfied with the quality of their meals.<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nA researcher compares incomes of people who live in rural areas with those who live in large urban areas.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44454\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-23.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 23\" width=\"570\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-23.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-23-300x33.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 24.<br \/>\nA researcher places bacteria samples in two different climates. The researcher then measures the bacteria growth in each sample after 3 days.<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 25\u201328, explain why the survey question may be biased or otherwise introduce bias into the survey. Then describe a way to correct the flaw.<\/strong><br \/>\nQuestion 25.<br \/>\n\u201cDo you agree that the budget of our city should be cut?\u201d<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44455\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-25.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 25\" width=\"583\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-25.png 583w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-25-300x46.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 26.<br \/>\n\u201cWould you rather watch the latest award-winning movie or just read some book?\u201d<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n\u201cThe tap water coming from our western water supply contains twice the level of arsenic of water from our eastern supply. Do you think the government should address this health problem?\u201d<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44456\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-27.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 27\" width=\"573\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-27.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-27-300x61.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p>Question 28.<br \/>\nA child asks, \u201cDo you support the construction of a new children\u2019s hospital?\u201d<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 29\u201332, determine whether the survey question may be biased or otherwise introduce bias into the survey. Explain your reasoning.<\/strong><br \/>\nQuestion 29.<br \/>\n\u201cDo you favor government funding to help prevent acid rain?\u201d<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44457\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-29.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 29\" width=\"563\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-29.png 563w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-29-300x33.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/p>\n<p>Question 30.<br \/>\n\u201cDo you think that renovating the old town hall would be a mistake?\u201d<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\nA police officer asks mall visitors, \u201cDo you wear your seat belt regularly?\u201d<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44458\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-31.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 31\" width=\"586\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-31.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-31-300x30.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>Question 32.<br \/>\n\u201cDo you agree with the amendments to the Clean Air Act?\u201d<br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<strong>REASONING<\/strong><br \/>\nA researcher studies the effect of fiber supplements on heart disease. The researcher identified 175 people who take fiber supplements and 175 people who do not take fiber supplements. The study found that those who took the supplements had 19.6% fewer heart attacks. The researcher concludes that taking fiber supplements reduces the chance of heart attacks.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-7.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 7\" width=\"322\" height=\"135\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-7.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-7-300x126.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\na. Explain why the researcher\u2019s conclusion may not be valid.<br \/>\nb. Describe how the researcher could have conducted the study differently to produce valid results.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44459\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-33.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 33\" width=\"558\" height=\"151\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-33.png 558w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-33-300x81.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><\/p>\n<p>Question 34.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nA poll is conducted to predict the results of a statewide election in New Mexico before all the votes are counted. Fifty voters in each of the state\u2019s 33 counties are asked how they voted as they leave the polls.<br \/>\na. Identify the type of sample described.<br \/>\nb. Explain how the diagram shows that the polling method could result in a biased sample.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37426\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-8.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 8\" width=\"246\" height=\"287\" \/><br \/>\nAnswer:<\/p>\n<p>Question 35.<br \/>\nWRITING<br \/>\nConsider each type of sample listed on page 610. Which of the samples are most likely to lead to biased results? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44460\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-35.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 35\" width=\"576\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-35.png 576w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-35-300x74.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><\/p>\n<p>Question 36.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nWhat is the difference between a \u201cblind experiment\u201d and a \u201cdouble-blind experiment?\u201d Describe a possible advantage of the second type of experiment over the first.<br \/>\nAnswer:<\/p>\n<p>Question 37.<br \/>\n<strong>WRITING<\/strong><br \/>\nA college wants to survey its graduating seniors to find out how many have already found jobs in their field of study after graduation.<br \/>\na. What is the objective of the survey?<br \/>\nb. Describe the population for the survey.<br \/>\nc. Write two unbiased questions for the survey.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44461\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-37.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 37\" width=\"529\" height=\"160\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-37.png 529w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-37-300x91.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/p>\n<p>Question 38.<br \/>\n<strong>REASONING<\/strong><br \/>\nAbout 3.2% of U.S. adults follow a vegetarian-based diet. Two randomly selected groups of people were asked whether they follow such a diet. The first sample consists of 20 people and the second sample consists of 200 people. Which sample proportion is more likely to be representative of the national percentage? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 39.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nThe U.S. Census is taken every10 years to gather data from the population. Your friend claims that the sample cannot be biased. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44462\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-39.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 39\" width=\"566\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-39.png 566w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-39-300x32.png 300w\" sizes=\"(max-width: 566px) 100vw, 566px\" \/><\/p>\n<p>Question 40.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nAn airline wants to know whether travelers have enough leg room on its planes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37427\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-9.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 9\" width=\"248\" height=\"163\" \/><br \/>\na. What method of data collection is appropriate for this situation?<br \/>\nb. Describe a sampling method that is likely to give biased results. Explain.<br \/>\nc. Describe a sampling method that is not likely to give biased results. Explain.<br \/>\nd. Write one biased question and one unbiased question for this situation.<br \/>\nAnswer:<\/p>\n<p>Question 41.<br \/>\n<strong>REASONING<\/strong><br \/>\nA website contains a link to a survey that asks how much time each person spends on the Internet each week.<br \/>\na. What type of sampling method is used in this situation?<br \/>\nb. Which population is likely to respond to the survey? What can you conclude?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44463\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-41.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 41\" width=\"593\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-41.png 593w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-41-300x63.png 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p><strong>Evaluate the expression without using a calculator.<\/strong><br \/>\nQuestion 42.<br \/>\n4<sup>5\/2<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 43.<br \/>\n27<sup>2\/3<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44464\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-43.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 43\" width=\"250\" height=\"37\" \/><\/p>\n<p>Question 44.<br \/>\n\u221264<sup>1\/3<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 45.<br \/>\n8<sup>-2\/3<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44465\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-45.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 45\" width=\"302\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-45.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-45-300x60.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><\/p>\n<p><strong>Simplify the expression.<\/strong><br \/>\nQuestion 46.<br \/>\n(4<sup>3\/2<\/sup> \u2022 4<sup>1\/4<\/sup>)<sup>4<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 47.<br \/>\n(6<sup>1\/3<\/sup> \u2022 3<sup>1\/3<\/sup>)<sup>-2<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44466\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-47.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 47\" width=\"464\" height=\"32\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-47.png 464w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-47-300x21.png 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><\/p>\n<p>Question 48.<br \/>\n\\(\\sqrt [ 3 ]{ 4 }\\) \u2022 \\(\\sqrt [ 3 ]{ 16 }\\)<br \/>\nAnswer:<\/p>\n<p>Question 49.<br \/>\n\\(\\frac{\\sqrt[4]{405}}{\\sqrt[4]{5}}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-11-Data-Analysis-and-Statistics-11.3-a-49.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 a 49\" width=\"269\" height=\"68\" \/><\/p>\n<h3><a id=\"Data_Analysis_and_Statistics_Study_Skills:_Reworking_Your_Notes\"><\/a>Data Analysis and Statistics Study Skills: Reworking Your Notes<\/h3>\n<p><strong>11.1\u201311.3 What Did You Learn?<\/strong><\/p>\n<p><strong>Core Vocabulary<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37428\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-10.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 10\" width=\"639\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-10.png 639w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-10-300x72.png 300w\" sizes=\"(max-width: 639px) 100vw, 639px\" \/><\/p>\n<p><strong>Core Concepts<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37429\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-11.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 11\" width=\"599\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-11.png 599w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-11-300x113.png 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><\/p>\n<p><strong>Mathematical Practices<\/strong><\/p>\n<p>Question 1.<br \/>\nWhat previously established results, if any, did you use to solve Exercise 31 on page 602?<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nWhat external resources, if any, did you use to answer Exercise 36 on page 616?<br \/>\nAnswer:<\/p>\n<p><strong>Study Skills: Reworking Your Notes<\/strong><\/p>\n<p>It\u2019s almost impossible to write down in your notes all the detailed information you are taught in class. A good way to reinforce the concepts and put them into your long-term memory is to rework your notes. When you take notes, leave extra space on the pages. You can go back after class and fill in:<\/p>\n<ul>\n<li>important definitions and rules<\/li>\n<li>additional examples<\/li>\n<li>questions you have about the material<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37430\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-12.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics 11.3 12\" width=\"368\" height=\"272\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-12.png 368w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-11.3-12-300x222.png 300w\" sizes=\"(max-width: 368px) 100vw, 368px\" \/><\/li>\n<\/ul>\n<h3><a id=\"Data_Analysis_and_Statistics_11.1\u201311.3_Quiz\"><\/a>Data Analysis and Statistics 11.1\u201311.3 Quiz<\/h3>\n<p>A normal distribution has a mean of 32 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval.<br \/>\nQuestion 1.<br \/>\nat least 28<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nbetween 20 and 32<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nat most 26<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nat most 35<br \/>\nAnswer:<\/p>\n<p><strong>Determine whether the histogram has a normal distribution.<\/strong><br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37431\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-q-1.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics q 1\" width=\"318\" height=\"246\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-q-1.png 318w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-q-1-300x232.png 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37432\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-q-2.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics q 2\" width=\"292\" height=\"239\" \/><br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nA survey of 1654 high school seniors determined that 1125 plan to attend college. Identify the population and the sample. Describe the sample.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nA survey of all employees at a company found that the mean one-way daily commute to work of the employees is 25.5 minutes. Is the mean time a parameter or a statistic? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nA researcher records the number of bacteria present in several samples in a laboratory. Identify the method of data collection.<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\nYou spin a five-color spinner, which is divided into equal parts, five times and every time the spinner lands on red. You suspect the spinner favors red. The maker of the spinner claims that the spinner does not favor any color. You simulate spinning the spinner 50 times by repeatedly drawing 200 random samples of size 50. The histogram shows the results. Use the histogram to determine what you should conclude when you spin the actual spinner 50 times and the spinner lands on red (a) 9 times and (b) 19 times.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37433\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-q-3.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics q 3\" width=\"418\" height=\"223\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-q-3.png 418w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-q-3-300x160.png 300w\" sizes=\"(max-width: 418px) 100vw, 418px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nA local television station wants to find the number of hours per week people in the viewing area watch sporting events on television. The station surveys people at a nearby sports stadium.<br \/>\na. Identify the type of sample described.<br \/>\nb. Is the sample biased? Explain your reasoning.<br \/>\nc. Describe a method for selecting a random sample of 200 people to survey.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.4_Experimental_Design\"><\/a>Lesson 11.4 Experimental Design<\/h3>\n<p><strong>Essential Question<\/strong> How can you use an experiment to test a conjecture?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Using an Experiment<br \/>\nWork with a partner. Standard white playing dice are manufactured with black dots that are indentations, as shown. So, the side with six indentations is the lightest side and the side with one indentation is the heaviest side.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37434\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-1.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 1\" width=\"151\" height=\"123\" \/><br \/>\nYou make a conjecture that when you roll a standard playing die, the number 6 will come up more often than the number 1 because 6 is the lightest side. To test your conjecture, roll a standard playing die 25 times. Record the results in the table. Does the experiment confirm your conjecture? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37435\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-2.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 2\" width=\"493\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-2.png 493w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-2-300x49.png 300w\" sizes=\"(max-width: 493px) 100vw, 493px\" \/><\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Analyzing an Experiment<br \/>\nWork with a partner. To overcome the imbalance of standard playing dice, one of the authors of this book invented and patented 12-sided dice, on which each number from 1 through 6 appears twice (on opposing sides). See BigIdeasMath.com.<br \/>\nAs part of the patent process, a standard playing die was rolled 27,090 times. The results are shown below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37436\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-3.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 3\" width=\"503\" height=\"187\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-3.png 503w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-3-300x112.png 300w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><br \/>\nWhat can you conclude from the results of this experiment? Explain your reasoning.<\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nHow can you use an experiment to test a conjecture?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nExploration 2 shows the results of rolling a standard playing die 27,090 times to test the conjecture in Exploration 1. Why do you think the number of trials was so large?<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nMake a conjecture about the outcomes of rolling the 12-sided die in Exploration 2. Then use the Internet to find a 12-sided die rolling simulator. Use the simulator to complete a table similar to the one shown below. How many times did you simulate rolling the die? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37437\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-4.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 4\" width=\"221\" height=\"179\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><br \/>\nQuestion 1.<br \/>\nDetermine whether the study is a randomized comparative experiment. If it is, describe the treatment, the treatment group, and the control group. If it is not, explain why not and discuss whether the conclusions drawn from the study are valid.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37438\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-5.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 5\" width=\"218\" height=\"240\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nDetermine whether the following research topic is best investigated through an experiment or an observational study. Then describe the design of the experiment or observational study.<br \/>\nYou want to know whether flowers sprayed twice per day with a mist of water stay fresh longer than flowers that are not sprayed.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nIn Example 3, the company identifies 250 people who are overweight. The subjects are randomly assigned to a treatment group or a control group. In addition, each subject is given a DVD that documents the dangers of obesity. After 3 months, most of the subjects placed in the treatment group have lost weight. Identify a potential problem with the experimental design. Then describe how you can improve it.<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nYou design an experiment to test the effectiveness of a vaccine against a strain of influenza. In the experiment, 100,000 people receive the vaccine and another 100,000 people receive a placebo. Identify a potential problem with the experimental design. Then describe how you can improve it.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Experimental_Design_11.4_Exercises\"><\/a>Experimental Design 11.4 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><br \/>\nQuestion 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nRepetition of an experiment under the same or similar conditions is called _________.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-1.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 1\" width=\"516\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-1.png 516w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-1-300x35.png 300w\" sizes=\"(max-width: 516px) 100vw, 516px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe the difference between the control group and the treatment group in a controlled experiment.<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p>In Exercises 3 and 4, determine whether the study is a randomized comparative experiment. If it is, describe the treatment, the treatment group, and the control group. If it is not, explain why not and discuss whether the conclusions drawn from the study are valid.<br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37439\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-6.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 6\" width=\"322\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-6.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-6-300x177.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44469\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-3.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 3\" width=\"572\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-3.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-3-300x61.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37440\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-7.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 7\" width=\"318\" height=\"185\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-7.png 318w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-7-300x175.png 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>ERROR ANALYSIS<\/strong> In Exercises 5 and 6, describe and correct the error in describing the study.<\/p>\n<p>A company\u2019s researchers want to study the effects of adding shea butter to their existing hair conditioner. They monitor the hair quality of 30 randomly selected customers using the regular conditioner and 30 randomly selected customers using the new shea butter conditioner.<br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37441\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-8.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 8\" width=\"328\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-8.png 328w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-8-300x65.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-5.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 5\" width=\"576\" height=\"121\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-5.png 576w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-5-300x63.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37442\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-9.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 9\" width=\"334\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-9.png 334w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-9-300x60.png 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><br \/>\nAnswer:<\/p>\n<p>In Exercises 7\u201310, explain whether the research topic is best investigated through an experiment or an observational study. Then describe the design of the experiment or observational study.<br \/>\nQuestion 7.<br \/>\nA researcher wants to compare the body mass index of smokers and nonsmokers.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-7.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 7\" width=\"571\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-7.png 571w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-7-300x79.png 300w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p>Question 8.<br \/>\nA restaurant chef wants to know which pasta sauce recipe is preferred by more diners.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nA farmer wants to know whether a new fertilizer affects the weight of the fruit produced by strawberry plants.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44472\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-9.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 9\" width=\"567\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-9.png 567w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-9-300x106.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>Question 10.<br \/>\nYou want to know whether homes that are close to parks or schools have higher property values.<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nA company wants to test whether a nutritional supplement has an adverse effect on an athlete\u2019s heart rate while exercising. Identify a potential problem, if any, with each experimental design. Then describe how you can improve it.<br \/>\na. The company randomly selects 250 athletes. Half of the athletes receive the supplement and their heart rates are monitored while they run on a treadmill. The other half of the athletes are given a placebo and their heart rates are monitored while they lift weights. The heart rates of the athletes who took the supplement significantly increased while exercising.<\/p>\n<p>b. The company selects 1000 athletes. The athletes are divided into two groups based on age. Within each age group, the athletes are randomly assigned to receive the supplement or the placebo. The athletes\u2019 heart rates are monitored while they run on a treadmill. There was no significant difference in the increases in heart rates between the two groups.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44473\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-11.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 11\" width=\"541\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-11.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-11-300x99.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Question 12.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nA researcher wants to test the effectiveness of reading novels on raising intelligence quotient (IQ) scores. Identify a potential problem, if any, with each experimental design. Then describe how you can improve it.<br \/>\na. The researcher selects 500 adults and randomly divides them into two groups. One group reads novels daily and one group does not read novels. At the end of 1 year, each adult is evaluated and it is determined that neither group had an increase in IQ scores.<\/p>\n<p>b. Fifty adults volunteer to spend time reading novels every day for 1 year. Fifty other adults volunteer to refrain from reading novels for 1 year. Each adult is evaluated and it is determined that the adults who read novels raised their IQ scores by 3 points more than the other group.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37443\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-10.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 10\" width=\"150\" height=\"188\" \/><br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nA fitness company claims that its workout program will increase vertical jump heights in 6 weeks. To test the workout program, 10 athletes are divided into two groups. The double bar graph shows the results of the experiment. Identify the potential problems with the experimental design. Then describe how you can improve it.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37444\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-11.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 11\" width=\"317\" height=\"227\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-11.png 317w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-11-300x215.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-13.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 13\" width=\"587\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-13.png 587w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-13-300x30.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><\/p>\n<p>Question 14.<br \/>\n<strong>WRITING<\/strong><br \/>\nExplain why observational studies, rather than experiments, are usually used in astronomy.<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nYour friend wants to determine whether the number of siblings has an effect on a student\u2019s grades. Your friend claims to be able to show causality between the number of siblings and grades. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-15.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 15\" width=\"560\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-15.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-15-300x49.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nTo test the effect political advertisements have on voter preferences, a researcher selects 400 potential voters and randomly divides them into two groups. The circle graphs show the results of the study.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37445\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-12.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 12\" width=\"356\" height=\"229\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-12.png 356w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-12-300x193.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><br \/>\na. Is the study a randomized comparative experiment? Explain.<br \/>\nb. Describe the treatment.<br \/>\nc. Can you conclude that the political advertisements were effective? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe the placebo effect and how it affects the results of an experiment. Explain how a researcher can minimize the placebo effect.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-17.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 17\" width=\"572\" height=\"140\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-17.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-17-300x73.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nMake a hypothesis about something that interests you. Design an experiment that could show that your hypothesis is probably true.<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>REASONING<\/strong><br \/>\nWill replicating an experiment on many individuals produce data that are more likely to accurately represent a population than performing the experiment only once? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44477\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-19.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 19\" width=\"570\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-19.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-19-300x32.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p><strong>Draw a dot plot that represents the data. Identify the shape of the distribution.<\/strong><br \/>\nQuestion 20.<br \/>\nAges: 24, 21, 22, 26, 22, 23, 25, 23, 23, 24, 20, 25<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\nGolf strokes: 4, 3, 4, 3, 3, 2, 7, 5, 3, 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44478\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-21.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 21\" width=\"430\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-21.png 430w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-21-300x100.png 300w\" sizes=\"(max-width: 430px) 100vw, 430px\" \/><\/p>\n<p><strong>Tell whether the function represents exponential growth or exponential decay. Then graph the function.<\/strong><br \/>\nQuestion 22.<br \/>\ny = 4<sup>x<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\ny = (0.95)<sup>x<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-23.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 23\" width=\"572\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-23.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-23-300x157.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 24.<br \/>\ny = (0.2)<sup>x<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\ny = (1.25)<sup>x<\/sup><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44480\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-25.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 11 Data Analysis and Statistics 11.4 a 25\" width=\"570\" height=\"307\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-25.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.4-a-25-300x162.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<h3><a id=\"Lesson_11.5_Making_Inferences_from_Sample_Surveys\"><\/a>Lesson 11.5 Making Inferences from Sample Surveys<\/h3>\n<p><strong>Essential Question<\/strong> How can you use a sample survey to infer a conclusion about a population?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Making an Inference from a Sample<br \/>\nWork with a partner. You conduct a study to determine what percent of the high school students in your city would prefer an upgraded model of their current cell phone. Based on your intuition and talking with a few acquaintances, you think that 50% of high school students would prefer an upgrade. You survey50 randomly chosen high school students and find that 20 of them prefer an upgraded model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37446\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 1\" width=\"181\" height=\"171\" \/><br \/>\na. Based on your sample survey, what percent of the high school students in your city would prefer an upgraded model? Explain your reasoning.<br \/>\nb. In spite of your sample survey, is it still possible that 50% of the high school students in your city prefer an upgraded model? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37447\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-2.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 2\" width=\"223\" height=\"170\" \/><br \/>\nc. To investigate the likelihood that you could have selected a sample of 50 from a population in which 50% of the population does prefer an upgraded model, you create a binomial distribution as shown below. From the distribution, estimate the probability that exactly 20 students surveyed prefer an upgraded model. Is this event likely to occur? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37448\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-3.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 3\" width=\"517\" height=\"260\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-3.png 517w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-3-300x151.png 300w\" sizes=\"(max-width: 517px) 100vw, 517px\" \/><br \/>\nd. When making inferences from sample surveys, the sample must be random. In the situation described above, describe how you could design and conduct a survey using a random sample of 50 high school students who live in a large city.<\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 2.<br \/>\nHow can you use a sample survey to infer a conclusion about a population?<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nIn Exploration 1(c), what is the probability that exactly 25 students you survey prefer an upgraded model?<br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\nThe data from another random sample of 30 teen users of the social networking website are shown in the table. Estimate the population mean \u03bc.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37449\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-4.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 4\" width=\"374\" height=\"176\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-4.png 374w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-4-300x141.png 300w\" sizes=\"(max-width: 374px) 100vw, 374px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nTwo candidates are running for class president. The table shows the results of four surveys of random students in the class. The students were asked whether they will vote for the incumbent. Do you think the incumbent will be reelected? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37450\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-5.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 5\" width=\"332\" height=\"144\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-5.png 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-5-300x130.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n<strong>WHAT IF?<\/strong><br \/>\nIn Example 3, what can you conclude about the accuracy of the claim that the population proportion is 0.34 when 21 adults in your random sample say mathematics is the most valuable subject?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nIn a survey of 1028 people in the U.S., 87% reported using the Internet. Give an interval that is likely to contain the exact percent of all people in the U.S. who use the Internet.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Making_Inferences_from_Sample_Surveys_11.5_Exercises\"><\/a>Making Inferences from Sample Surveys 11.5 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><br \/>\nQuestion 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nThe ___________ gives a limit on how much the responses of the sample would differ from the responses of the population.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44482\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-1.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 1\" width=\"564\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-1.png 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-1-300x48.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>WRITING<\/strong><br \/>\nWhat is the difference between descriptive and inferential statistics?<br \/>\nAnswer:<\/p>\n<p>Monitoring Progress and Modeling with Mathematics<\/p>\n<p>Question 3.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe numbers of text messages sent each day by a random sample of 30 teen cellphone users are shown in the table. Estimate the population mean \u03bc.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37451\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-6.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 6\" width=\"260\" height=\"184\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-3.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 3\" width=\"580\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-3.png 580w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-3-300x97.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe incomes for a random sample of 35 U.S. households are shown in the table. Estimate the population mean \u03bc.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37452\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-7.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 7\" width=\"317\" height=\"211\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-7.png 317w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-7-300x200.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nUse the data in Exercise 3 to answer each question.<br \/>\na. Estimate the population proportion \u03c1 of teen cellphone users who send more than 70 text messages each day.<br \/>\nb. Estimate the population proportion \u03c1 of teen cellphone users who send fewer than 50 text messages each day.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44484\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-5.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 5\" width=\"577\" height=\"198\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-5.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-5-300x103.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 6.<br \/>\n<strong>WRITING<\/strong><br \/>\nA survey asks a random sample of U.S. teenagers how many hours of television they watch each night. The survey reveals that the sample mean is 3 hours per night. How con\ue037dent are you that the average of all U.S. teenagers is exactly 3 hours per night? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37453\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-8.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 8\" width=\"231\" height=\"155\" \/><br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nWhen the President of the United States vetoes a bill, the Congress can override the veto by a two-thirds majority vote in each House. Five news organizations conduct individual random surveys of U.S. Senators. The senators are asked whether they will vote to override the veto. The results are shown in the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37454\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-9.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 9\" width=\"340\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-9.png 340w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-9-300x176.png 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/><br \/>\na. Based on the results of the first two surveys, do you think the Senate will vote to override the veto? Explain.<br \/>\nb. Based on the results in the table, do you think the Senate will vote to override the veto? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-7.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 7\" width=\"536\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-7.png 536w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-7-300x83.png 300w\" sizes=\"(max-width: 536px) 100vw, 536px\" \/><\/p>\n<p>Question 8.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nYour teacher lets the students decide whether to have their test on Friday or Monday. The table shows the results from four surveys of randomly selected students in your grade who are taking the same class. The students are asked whether they want to have the test on Friday.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37455\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-10.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 10\" width=\"302\" height=\"168\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-10.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-10-300x167.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\na. Based on the results of the first two surveys, do you think the test will be on Friday? Explain.<br \/>\nb. Based on the results in the table, do you think the test will be on Friday? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nA national polling company claims that 54% of U.S. adults are married. You survey a random sample of 50 adults.<br \/>\na. What can you conclude about the accuracy of the claim that the population proportion is 0.54 when 31 adults in your survey are married?<br \/>\nb. What can you conclude about the accuracy of the claim that the population proportion is 0.54 when 19 adults in your survey are married?<br \/>\nc. Assume that the true population proportion is 0.54. Estimate the variation among sample proportions for samples of size 50.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44486\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-9.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 9\" width=\"575\" height=\"373\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-9.png 575w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-9-300x195.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 10.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nEmployee engagement is the level of commitment and involvement an employee has toward the company and its values. A national polling company claims that only 29% of U.S. employees feel engaged at work. You survey a random sample of 50 U.S. employees.<br \/>\na. What can you conclude about the accuracy of the claim that the population proportion is 0.29 when 16 employees feel engaged at work?<br \/>\nb. What can you conclude about the accuracy of the claim that the population proportion is 0.29 when 23 employees feel engaged at work?<br \/>\nc. Assume that the true population proportion is 0.29. Estimate the variation among sample proportions for samples of size 50.<br \/>\nAnswer:<\/p>\n<p><strong>In Exercises 11\u201316, find the margin of error for a survey that has the given sample size. Round your answer to the nearest tenth of a percent.<\/strong><br \/>\nQuestion 11.<br \/>\n260<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44487\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-11.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 11\" width=\"474\" height=\"139\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-11.png 474w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-11-300x88.png 300w\" sizes=\"(max-width: 474px) 100vw, 474px\" \/><\/p>\n<p>Question 12.<br \/>\n1000<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n2024<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44488\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-13.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 13\" width=\"477\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-13.png 477w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-13-300x84.png 300w\" sizes=\"(max-width: 477px) 100vw, 477px\" \/><\/p>\n<p>Question 14.<br \/>\n6400<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n3275<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44489\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-15.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 15\" width=\"475\" height=\"136\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-15.png 475w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-15-300x86.png 300w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><\/p>\n<p>Question 16.<br \/>\n750<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>ATTENDING TO PRECISION<\/strong><br \/>\nIn a survey of 1020 U.S. adults, 41% said that their top priority for saving is retirement.<br \/>\na. What is the margin of error for the survey?<br \/>\nb. Give an interval that is likely to contain the exact percent of all U.S. adults whose top priority for saving is retirement.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44490\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-17.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 17\" width=\"572\" height=\"298\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-17.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-17-300x156.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>ATTENDING TO PRECISION<\/strong><br \/>\nIn a survey of 1022 U.S. adults, 76% said that more emphasis should be placed on producing domestic energy from solar power.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37456\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-11.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 11\" width=\"172\" height=\"102\" \/><br \/>\na. What is the margin of error for the survey?<br \/>\nb. Give an interval that is likely to contain the exact percent of all U.S. adults who think more emphasis should be placed on producing domestic energy from solar power.<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nIn a survey, 8% of adult Internet users said they participate in sports fantasy leagues online. The margin of error is \u00b14%. Describe and correct the error in calculating the sample size.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37457\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-12.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 12\" width=\"235\" height=\"118\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44492\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-19.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 19\" width=\"503\" height=\"167\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-19.png 503w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-19-300x100.png 300w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nIn a random sample of 2500 consumers, 61% prefer Game A over Game B. Describe and correct the error in giving an interval that is likely to contain the exact percent of all consumers who prefer Game A over Game B.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37458\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-13.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 13\" width=\"318\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-13.png 318w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-13-300x103.png 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nYour friend states that it is possible to have a margin of error between 0 and 100 percent, not including 0 or 100 percent. Is your friend correct? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44493\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-21.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 21\" width=\"582\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-21.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-21-300x29.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p>Question 22.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nThe figure shows the distribution of the sample proportions from three simulations using different sample sizes. Which simulation has the least margin of error? the greatest? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37459\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-14.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 14\" width=\"296\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\n<strong>REASONING<\/strong><br \/>\nA developer claims that the percent of city residents who favor building a new football stadium is likely between 52.3% and 61.7%. How many residents were surveyed?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37460\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-15.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 15\" width=\"230\" height=\"159\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44494\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-23.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 23\" width=\"548\" height=\"173\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-23.png 548w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-23-300x95.png 300w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><\/p>\n<p>Question 24.<br \/>\n<strong>ABSTRACT REASONING<\/strong><br \/>\nSuppose a random sample of size n is required to produce a margin of error of \u00b1E. Write an expression in terms of n for the sample size needed to reduce the margin of error to \u00b11\u20142E. How many times must the sample size be increased to cut the margin of error in half? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 25.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nA survey reported that 47% of the voters surveyed, or about 235 voters, said they voted for Candidate A and the remainder said they voted for Candidate B.<br \/>\na. How many voters were surveyed?<br \/>\nb. What is the margin of error for the survey?<br \/>\nc. For each candidate, find an interval that is likely to contain the exact percent of all voters who voted for the candidate.<br \/>\nd. Based on your intervals in part (c), can you be confident that Candidate B won? If not, how many people in the sample would need to vote for Candidate B for you to be con\ue037dent that Candidate B won? (Hint: Find the least number of voters for Candidate B so that the intervals do not overlap.)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44495\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-25.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 25\" width=\"571\" height=\"414\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-25.png 571w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-25-300x218.png 300w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p>Question 26.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nConsider a large population in which \u03c1 percent (in decimal form) have a certain characteristic. To be reasonably sure that you are choosing a sample that is representative of a population, you should choose a random sample of n people where n &gt; 9\\(\\left(\\frac{1-\\rho}{\\rho}\\right)\\) .<br \/>\na. Suppose \u03c1= 0.5. How large does n need to be?<br \/>\nb. Suppose \u03c1= 0.01. How large does n need to be?<br \/>\nc. What can you conclude from parts (a) and (b)?<br \/>\nAnswer:<\/p>\n<p>Question 27.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nIn a survey, 52% of the respondents said they prefer sports drink X and 48% said they prefer sports drink Y. How many people would have to be surveyed for you to be confident that sports drink X is truly preferred by more than half the population? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44496\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-27.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 27\" width=\"574\" height=\"239\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-27.png 574w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-27-300x125.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p><strong>Find the inverse of the function.<\/strong><br \/>\nQuestion 28.<br \/>\ny= 10<sup>x-3<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 29.<br \/>\ny= 2<sup>x<\/sup> &#8211; 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44497\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-29.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 29\" width=\"332\" height=\"174\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-29.png 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-29-300x157.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p>\n<p>Question 30.<br \/>\ny= ln (x+ 5)<br \/>\nAnswer:<\/p>\n<p>Question 31.<br \/>\ny= log<sub>6<\/sub>x\u2212 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44498\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-31.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 31\" width=\"269\" height=\"170\" \/><\/p>\n<p><strong>Determine whether the graph represents an arithmetic sequence or a geometric sequence. Then write a rule for the nth term.<\/strong><br \/>\nQuestion 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37461\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-16.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 16\" width=\"135\" height=\"131\" \/><br \/>\nAnswer:<\/p>\n<p>Question 33.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37462\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-17.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 17\" width=\"128\" height=\"130\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44499\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-33.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 11 Data Analysis and Statistics 11.5 a 33\" width=\"594\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-33.png 594w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-a-33-300x67.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/p>\n<p>Question 34.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37463\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Algebra-2-Chapter-11-Data-Analysis-and-Statistics-11.5-18.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.5 18\" width=\"133\" height=\"132\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Lesson_11.6_Making_Inferences_from_Experiments\"><\/a>Lesson 11.6 Making Inferences from Experiments<\/h3>\n<p><strong>Essential Question<\/strong> How can you test a hypothesis about an experiment?<\/p>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Resampling Data<br \/>\nWork with a partner. A randomized comparative experiment tests whether water with dissolved calcium affects the yields of yellow squash plants. The table shows the results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 1\" width=\"156\" height=\"315\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-1.png 156w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-1-149x300.png 149w\" sizes=\"(max-width: 156px) 100vw, 156px\" \/><br \/>\na. Find the mean yield of the control group and the mean yield of the treatment group. Then find the difference of the two means. Record the results.<br \/>\nb. Write each yield measurement from the table on an equal-sized piece of paper. Place the pieces of paper in a bag, shake, and randomly choose 10 pieces of paper. Call this the \u201ccontrol\u201d group, and call the 10 pieces in the bag the \u201ctreatment\u201d group. Then repeat part (a) and return the pieces to the bag. Perform this resampling experiment five times.<br \/>\nc. How does the difference in the means of the control and treatment groups compare with the differences resulting from chance?<\/p>\n<p><strong>EXPLORATION 2<\/strong><\/p>\n<p>Evaluating Results<br \/>\nWork as a class. To conclude that the treatment is responsible for the difference in yield, you need strong evidence to reject the hypothesis:<br \/>\nWater dissolved in calcium has no effect on the yields of yellow squash plants.<br \/>\nTo evaluate this hypothesis, compare the experimental difference of means with the resampling differences.<br \/>\na. Collect all the resampling differences of means found in Exploration 1(b) for the whole class and display these values in a histogram.<br \/>\nb. Draw a vertical line on your class histogram to represent the experimental difference of means found in Exploration 1(a).<br \/>\nc. Where on the histogram should the experimental difference of means lie to give evidence for rejecting the hypothesis?<br \/>\nd. Is your class able to reject the hypothesis? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37469\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-2.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 2\" width=\"218\" height=\"233\" \/><\/p>\n<p><strong>Communicate Your Answer<\/strong><\/p>\n<p>Question 3.<br \/>\nHow can you test a hypothesis about an experiment?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nThe randomized comparative experiment described in Exploration 1 is replicated and the results are shown in the table. Repeat Explorations 1 and 2 using this data set. Explain any differences in your answers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-3.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 3\" width=\"519\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-3.png 519w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-3-300x64.png 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress<\/strong><\/p>\n<p>Question 1.<br \/>\nIn Example 1, interpret the meaning of \\(\\bar{x}_{\\text {treatment }}\\) \\(\\bar{x}_{\\text {control }}\\) control when the difference is (a) negative, (b) zero, and (c) positive.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nIn Example 3, what are the consequences of concluding that the hypothesis is false when it is actually true?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Making_Inferences_from_Experiments_11.6_Exercises\"><\/a>Making Inferences from Experiments 11.6 Exercises<\/h3>\n<p><strong>Vocabulary and Core Concept Check<\/strong><br \/>\nQuestion 1.<br \/>\n<strong>COMPLETE THE SENTENCE<\/strong><br \/>\nA method in which new samples are repeatedly drawn from the data set is called ____________.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44501\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 1\" width=\"557\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-1.png 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-1-300x33.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/p>\n<p>Question 2.<br \/>\n<strong>DIFFERENT WORDS, SAME QUESTION<\/strong><br \/>\nWhich is different? Find \u201cboth\u201d answers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-4.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 4\" width=\"627\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-4.png 627w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-4-300x90.png 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Monitoring Progress and Modeling with Mathematics<\/strong><\/p>\n<p>Question 3.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nA randomized comparative experiment tests whether music therapy affects the depression scores of college students. The depression scores range from 20 to 80, with scores greater than 50 being associated with depression. The control group has eight students and the treatment group, which receives the music therapy, has eight students. The table shows the results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37472\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-5.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 5\" width=\"325\" height=\"135\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-5.png 325w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-5-300x125.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><br \/>\na. Find the mean score of the control group.<br \/>\nb. Find the mean score of the treatment group.<br \/>\nc. Find the experimental difference of the means.<br \/>\nd. Display the data in a double dot plot.<br \/>\ne. What can you conclude?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37473\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-6.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 6\" width=\"202\" height=\"138\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44502\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-3.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 3\" width=\"588\" height=\"467\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-3.png 588w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-3-300x238.png 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nA randomized comparative experiment tests whether low-level laser therapy affects the waist circumference of adults. The control group has eight adults and the treatment group, which receives the low-level laser therapy, has eight adults. The table shows the results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-7.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 7\" width=\"317\" height=\"132\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-7.png 317w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-7-300x125.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><br \/>\na. Find the mean circumference of the control group.<br \/>\nb. Find the mean circumference of the treatment group.<br \/>\nc. Find the experimental difference of the means.<br \/>\nd. Display the data in a double dot plot.<br \/>\ne. What can you conclude?<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n<strong>ERROR ANALYSIS<\/strong><br \/>\nIn a randomized comparative experiment, the mean score of the treatment group is 11 and the mean score of the control group is 16. Describe and correct the error in interpreting the experimental difference of the means.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-8.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 8\" width=\"308\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-8.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-8-300x82.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-5.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 5\" width=\"515\" height=\"107\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-5.png 515w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-5-300x62.png 300w\" sizes=\"(max-width: 515px) 100vw, 515px\" \/><\/p>\n<p>Question 6.<br \/>\n<strong>REASONING<\/strong><br \/>\nIn Exercise 4, interpret the meaning of \\(\\bar{x}_{\\text {treatment }}-\\bar{x}_{\\text {control }}\\) when the difference is positive, negative, and zero.<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nResample the data in Exercise 3 using a simulation. Use the means of the new control and treatment groups to calculate the difference of the means.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44504\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-7.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 7\" width=\"620\" height=\"344\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-7.png 620w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-7-300x166.png 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p>Question 8.<br \/>\n<strong>MODELING WITH MATHEMATICS<\/strong><br \/>\nResample the data in Exercise 4 using a simulation. Use the means of the new control and treatment groups to calculate the difference of the means.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nTo analyze the hypothesis below, use the histogram which shows the results from 200 resamplings of the data in Exercise 3.<br \/>\nMusic therapy has no effect on the depression score.<br \/>\nCompare the experimental difference in Exercise 3 with the resampling differences. What can you conclude about the hypothesis? Does music therapy have an effect on the depression score?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-9.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 9\" width=\"312\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-9.png 312w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-9-300x192.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44505\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-9.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 9\" width=\"569\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-9.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-9-300x34.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Question 10.<br \/>\n<strong>DRAWING CONCLUSIONS<\/strong><br \/>\nSuppose the experimental difference of the means in Exercise 3 had been \u22120.75. Compare this experimental difference of means with the resampling differences in the histogram in Exercise 9. What can you conclude about the hypothesis? Does music therapy have an effect on the depression score?<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n<strong>WRITING<\/strong><br \/>\nCompare the histogram in Exercise 9 to the histogram below. Determine which one provides stronger evidence against the hypothesis, Music therapy has no effect on the depression score. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37477\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-10.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 10\" width=\"303\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-10.png 303w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-10-300x218.png 300w\" sizes=\"(max-width: 303px) 100vw, 303px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44506\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-11.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 11\" width=\"591\" height=\"192\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-11.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-11-300x97.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 12.<br \/>\n<strong>HOW DO YOU SEE IT?<\/strong><br \/>\nWithout calculating, determine whether the experimental difference, \\(\\bar{x}_{\\text {treatment }}-\\bar{x}_{\\text {control }}\\), is positive, negative, or zero. What can you conclude about the effect of the treatment? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37478\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-11.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 11\" width=\"302\" height=\"118\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-11.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-11-300x117.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\n<strong>MAKING AN ARGUMENT<\/strong><br \/>\nYour friend states that the mean of the resampling differences of the means should be close to 0 as the number of resamplings increase. Is your friend correct? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44507\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-13.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 13\" width=\"572\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-13.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-13-300x60.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 14.<br \/>\n<strong>THOUGHT PROVOKING<\/strong><br \/>\nDescribe an example of an observation that can be made from an experiment. Then give four possible inferences that could be made from the observation.<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nIn Exercise 4, how many resamplings of the treatment and control groups are theoretically possible? Explain.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44508\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-15.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 15\" width=\"557\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-15.png 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-15-300x48.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/p>\n<p><strong>Maintaining Mathematical Proficiency<\/strong><\/p>\n<p><strong>Factor the polynomial completely.<\/strong><br \/>\nQuestion 16.<br \/>\n5x<sup>3<\/sup> \u2212 15x<sup>2<\/sup><br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\ny<sup>3<\/sup> \u2212 8<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-17.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 17\" width=\"294\" height=\"33\" \/><\/p>\n<p>Question 18.<br \/>\nz<sup>3<\/sup> + 5z<sup>2<\/sup> \u2212 9z \u2212 45<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\n81w<sup>4<\/sup> \u2212 16<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44510\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-19.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 19\" width=\"406\" height=\"106\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-19.png 406w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-19-300x78.png 300w\" sizes=\"(max-width: 406px) 100vw, 406px\" \/><\/p>\n<p><strong>Determine whether the inverse of f is a function. Then find the inverse.<\/strong><br \/>\nQuestion 20.<br \/>\nf(x) = \\(\\frac{3}{x+5}\\)<br \/>\nAnswer:<\/p>\n<p>Question 21.<br \/>\nf(x) = \\(\\frac{1}{2x-1}\\)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44511\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-21.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 21\" width=\"543\" height=\"749\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-21.png 543w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-21-217x300.png 217w\" sizes=\"(max-width: 543px) 100vw, 543px\" \/><\/p>\n<p>Question 22.<br \/>\nf(x) = \\(\\frac{2}{x}\\) \u2212 4<br \/>\nAnswer:<\/p>\n<p>Question 23.<br \/>\nf(x) = \\(\\frac{3}{x^{2}}\\) + 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-44512\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-23.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 a 23\" width=\"549\" height=\"690\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-23.png 549w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-a-23-239x300.png 239w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<h3><a id=\"Data_Analysis_and_Statistics_Performance_Task:_Curving_the_Test\"><\/a>Data Analysis and Statistics Performance Task: Curving the Test<\/h3>\n<p><strong>11.4\u201311.6 What Did You Learn?<\/strong><\/p>\n<p><strong>Core Vocabulary<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-12.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 12\" width=\"521\" height=\"103\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-12.png 521w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-12-300x59.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p><strong>Core Concepts<\/strong><br \/>\nSection 11.4<br \/>\nRandomization in Experiments and Observational Studies, p. 621<br \/>\nComparative Studies and Causality, p. 621<br \/>\nAnalyzing Experimental Designs, p. 622<\/p>\n<p>Section 11.5<br \/>\nEstimating Population Parameters, p. 626<br \/>\nAnalyzing Estimated Population Parameters, p. 628<\/p>\n<p>Section 11.6<br \/>\nExperiments with Two Samples, p. 634<br \/>\nResampling Data Using Simulations, p. 635<br \/>\nMaking Inferences About Treatments, p. 636<\/p>\n<p><strong>Mathematical Practices<\/strong><br \/>\nQuestion 1.<br \/>\nIn Exercise 7 on page 623, find a partner and discuss your answers. What questions should you ask your partner to determine whether an observational study or an experiment is more appropriate?<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nIn Exercise 23 on page 632, how did you use the given interval to find the sample size?<br \/>\nAnswer:<\/p>\n<p><strong>Performance Task: Curving the Test<\/strong><br \/>\nTest scores are sometimes curved for different reasons using different techniques. Curving began with the assumption that a good test would result in scores that were normally distributed about a C average. Is this assumption valid? Are test scores in your class normally distributed? If not, how are they distributed? Which curving algorithms preserve the distribution and which algorithms change it?<br \/>\nTo explore the answers to these questions and more, go to BigIdeasMath.com.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37480\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-13.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics 11.6 13\" width=\"362\" height=\"258\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-13.png 362w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-11-Data-Analysis-and-Statistics-11.6-13-300x214.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><\/p>\n<h3><a id=\"Data_Analysis_and_Statistics_Chapter_Review\"><\/a>Data Analysis and Statistics Chapter Review<\/h3>\n<p><strong>11.1 Using Normal Distributions (pp. 595\u2013602)<\/strong><\/p>\n<p>Question 1.<br \/>\nA normal distribution has mean \u03bc and standard deviation \u03c3. An x-value is randomly selected from the distribution. Find P(x \u2264 \u03bc \u2212 3\u03c3).<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nThe scores received by juniors on the math portion of the PSAT are normally distributed with a mean of 48.6 and a standard deviation of 11.4. What is the probability that a randomly selected score is at least 76?<br \/>\nAnswer:<\/p>\n<p><strong>11.2 Populations, Samples, and Hypotheses (pp. 603\u2212608)<\/strong><\/p>\n<p>Question 3.<br \/>\nTo estimate the average number of miles driven by U.S. motorists each year, a researcher conducts a survey of 1000 drivers, records the number of miles they drive in a year, and then determines the average. Identify the population and the sample.<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nA pitcher throws 40 fastballs in a game. A baseball analyst records the speeds of 10 fastballs and finds that the mean speed is 92.4 miles per hour. Is the mean speed a parameter or a statistic? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nA prize on a game show is placed behind either Door A or Door B. You suspect the prize is more often behind Door A. The show host claims the prize is randomly placed behind either door. What should you conclude when the prize is behind Door A for 32 out of 50 contestants?<br \/>\nAnswer:<\/p>\n<p><strong>11.3 Collecting Data (pp. 609\u2212616)<\/strong><\/p>\n<p>Question 6.<br \/>\nA researcher wants to determine how many people in a city support the construction of a new road connecting the high school to the north side of the city. Fifty residents from each side of the city are surveyed. Identify the type of sample described and determine whether the sample is biased.<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nA researcher records the number of people who use a coupon when they dine at a certain restaurant. Identify the method of data collection.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nExplain why the survey question below may be biased or otherwise introduce bias into the survey. Then describe a way to correct the flaw.<br \/>\n\u201cDo you think the city should replace the outdated police cars it is using?\u201d<br \/>\nAnswer:<\/p>\n<p><strong>11.4 Experimental Design (pp. 619\u2013624)<\/strong><\/p>\n<p>Question 9.<br \/>\nA restaurant manager wants to know which type of sandwich bread attracts the most repeat customers. Is the topic best investigated through an experiment or an observational study? Describe how you would design the experiment or observational study.<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\nA researcher wants to test the effectiveness of a sleeping pill. Identify a potential problem, if any, with the experimental design below. Then describe how you can improve it.<br \/>\nThe researcher asks for 16 volunteers who have insomnia. Eight volunteers are given the sleeping pill and the other 8 volunteers are given a placebo. Results are recorded for 1 month.<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nDetermine whether the study is a randomized comparative experiment. If it is, describe the treatment, the treatment group, and the control group. If it is not, explain why not and discuss whether the conclusions drawn from the study are valid.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-cr-1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics cr 1\" width=\"339\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-cr-1.png 339w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-cr-1-300x135.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>11.5 Making Inferences from Sample Surveys (pp. 625\u2212632)<\/strong><\/p>\n<p>Question 12.<br \/>\nIn a survey of 1017 U.S. adults, 62% said that they prefer saving money over spending it. Give an interval that is likely to contain the exact percent of all U.S. adults who prefer saving money over spending it.<br \/>\nAnswer:<\/p>\n<p>Question 13.<br \/>\nThere are two candidates for homecoming king. The table shows the results from four random surveys of the students in the school. The students were asked whether they will vote for Candidate A.Do you think Candidate A will be the homecoming king? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37482\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-cr-2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics cr 2\" width=\"262\" height=\"141\" \/><br \/>\nAnswer:<\/p>\n<p><strong>11.6 Making Inferences from Experiments (pp. 633\u2212638)<\/strong><\/p>\n<p>Question 14.<br \/>\nDescribe how to use a simulation to resample the data in the example above. Explain how this allows you to make inferences about the data when the sample size is small.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Data_Analysis_and_Statistics_Chapter_Test\"><\/a>Data Analysis and Statistics Chapter Test<\/h3>\n<p>Question 1.<br \/>\nMarket researchers want to know whether more men or women buy their product. Explain whether this research topic is best investigated through an experiment or an observational study. Then describe the design of the experiment or observational study.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nYou want to survey 100 of the 2774 four-year colleges in the United States about their tuition cost. Describe a method for selecting a random sample of colleges to survey.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nThe grade point averages of all the students in a high school are normally distributed with a mean of 2.95 and a standard deviation of 0.72. Are these numerical values parameters or statistics? Explain.<br \/>\nAnswer:<\/p>\n<p>A normal distribution has a mean of 72 and a standard deviation of 5. Find the probability that a randomly selected x-value from the distribution is in the given interval.<br \/>\nQuestion 4.<br \/>\nbetween 67 and 77<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nat least 75<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nat most 82<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nA researcher wants to test the effectiveness of a new medication designed to lower blood pressure. Identify a potential problem, if any, with the experimental design. Then describe how you can improve it.<br \/>\nThe researcher identifies 30 people with high blood pressure. Fifteen people with the highest blood pressures are given the medication and the other 15 are given a placebo. After 1 month, the subjects are evaluated.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nA randomized comparative experiment tests whether a vitamin supplement increases human bone density (in grams per square centimeter). The control group has eight people and the treatment group, which receives the vitamin supplement, has eight people. The table shows the results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-ct-1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics ct 1\" width=\"569\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-ct-1.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-ct-1-300x51.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\na. Find the mean yields of the control group, \\(\\bar{x}_{\\text {control }}\\), and the treatment group, \\(\\bar{x}_{\\text {treatment }}\\).<br \/>\nb. Find the experimental difference of the means, \\(\\bar{x}_{\\text {treatment }}-\\bar{x}_{\\text {control }}\\).<br \/>\nc. Display the data in a double dot plot. What can you conclude?<br \/>\nd. Five hundred resamplings of the data are simulated. Out of the 500 resampling differences, 231 are greater than the experimental difference in part (b). What can you conclude about the hypothesis, The vitamin supplement has no effect on human bone density? Explain your reasoning.<br \/>\nAnswer:<\/p>\n<p>Question 9.<br \/>\nIn a recent survey of 1600 randomly selected U.S. adults, 81% said they have purchased a product online.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37484\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics-ct-2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics ct 2\" width=\"228\" height=\"188\" \/><br \/>\na. Identify the population and the sample. Describe the sample.<br \/>\nb. Find the margin of error for the survey.<br \/>\nc. Give an interval that is likely to contain the exact percent of all U.S. adults who have purchased a product online.<br \/>\nd. You survey 75 teachers at your school. The results are shown in the graph. Would you use the recent survey or your survey to estimate the percent of U.S. adults who have purchased a product online? Explain.<br \/>\nAnswer:<\/p>\n<h3><a id=\"Data_Analysis_and_Statistics_Cumulative_Assessment\"><\/a>Data Analysis and Statistics Cumulative Assessment<\/h3>\n<p>Question 1.<br \/>\nYour friend claims any system formed by three of the following equations will have exactly one solution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-1.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics ca 1\" width=\"501\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-1.png 501w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-1-300x62.png 300w\" sizes=\"(max-width: 501px) 100vw, 501px\" \/><br \/>\na. Write a linear system that would support your friend\u2019s claim.<br \/>\nb. Write a linear system that shows your friend\u2019s claim is incorrect.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nWhich of the following samples are biased? If the sample is biased, explain why it is biased.<br \/>\nA. A restaurant asks customers to participate in a survey about the food sold at the restaurant. The restaurant uses the surveys that are returned.<br \/>\nB. You want to know the favorite sport of students at your school. You randomly select athletes to survey at the winter sports banquet.<br \/>\nC. The owner of a store wants to know whether the store should stay open 1 hour later each night. Each cashier surveys every fifth customer.<br \/>\nD. The owner of a movie theater wants to know whether the volume of its movies is too loud. Patrons under the age of 18 are randomly surveyed.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nA survey asks adults about their favorite way to eat ice cream. The results of the survey are displayed in the table shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37486\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-3.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics ca 3\" width=\"206\" height=\"157\" \/><br \/>\na. How many people were surveyed?<br \/>\nb. Why might the conclusion, \u201cAdults generally do not prefer to eat their ice cream in a cone\u201d be inaccurate to draw from this data?<br \/>\nc. You decide to test the results of the poll by surveying adults chosen at random. What is the probability that at least three out of the six people you survey prefer to eat ice cream in a cone?<br \/>\nd. Four of the six respondents in your study said they prefer to eat their ice cream in a cone. You conclude that the other survey is inaccurate. Why might this conclusion be incorrect?<br \/>\ne. What is the margin of error for your survey?<br \/>\nAnswer:<\/p>\n<p>Question 4.<br \/>\nYou are making a lampshade out of fabric for the lamp shown. The pattern for the lampshade is shown in the diagram on the left.<br \/>\na. Use the smaller sector to write an equation that relates \u03b8 and x.<br \/>\nb. Use the larger sector to write an equation that relates \u03b8 and x+ 10.<br \/>\nc. Solve the system of equations from parts (a) and (b) for x and \u03b8.<br \/>\nd. Find the amount of fabric (in square inches) that you will use to make the lampshade.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37487\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-4.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics ca 4\" width=\"276\" height=\"175\" \/><br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\nFor all students taking the Medical College Admission Test over a period of 3 years, the mean score was 25.1. During the same 3 years, a group of 1000 students who took the test had a mean score of 25.3. Classify each mean as a parameter or a statistic. Explain.<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nComplete the table for the four equations. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37488\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-6.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics ca 6\" width=\"431\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-6.png 431w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-6-300x157.png 300w\" sizes=\"(max-width: 431px) 100vw, 431px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nThe normal distribution shown has mean 63 and standard deviation 8. Find the percent of the area under the normal curve that is represented by the shaded region. Then describe another interval under\ue031the normal curve that has the same area.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37489\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-7.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics ca 7\" width=\"224\" height=\"122\" \/><br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nWhich of the rational expressions cannot be simplified? (HSA-APR.D.6)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37490\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-8.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 11 Data Analysis and Statistics ca 8\" width=\"413\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-8.png 413w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Data-Analysis-and-Statistics-ca-8-300x76.png 300w\" sizes=\"(max-width: 413px) 100vw, 413px\" \/><br \/>\nAnswer:<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics assists students to learn strong fundamentals of concepts jotted down in this chapter. Download the BIM Algebra 2\u00a0Solution Book of Ch 11 Pdf for free of cost and kickstart your preparation with the related lessons of Data Analysis and Statistics. These BigIdeas Math &#8230; <a title=\"Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-algebra-2-answers-chapter-11\/\" aria-label=\"More on Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":89383,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-11-Data-Analysis-and-Statistics.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/37383"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=37383"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/37383\/revisions"}],"predecessor-version":[{"id":90300,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/37383\/revisions\/90300"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89383"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=37383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=37383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=37383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}