Dana Center Mathematics PATHWAYS Introductory Statistics First Edition (2021) Student Pages Practice Assignment 8.D 1) Below are three normal distributions: 10 11 12 13 Part A: Which distribution has the smallest standard deviation? a) Distribution A b) Distribution B c) Distribution C Part B: Which distribution has the largest mean? a) Distribution A b) Distribution B c) Distribution C 2) A course required completing three exams, and the exam grades were normally distributed. Below are the averages and standard deviations of each exam. Exam 1: 1 = 70, 0 = 5 Exam 2: 1 = 70, o = 10 Exam 3: 1 = 80, 0 = 5 Copyright @ 2021, The Charles A. Dana Center at The University of Texas at AustinIntroductory Statistics First Edition (2021) Student Pages Part A: Which of the following is true for the distributions of Exams 1 and 2? a) The distribution of Exam 1 will be wider and flatter than the distribution of Exam 2. b) The distribution of Exam 1 will be narrower and higher than the distribution of Exam 2. c) The distribution of Exam 1 will be centered to the right of the distribution of Exam 2. d) The distribution of Exam 1 will be centered to the left of the distribution of Exam 2. Part B: Which of the following is true for the distributions of Exams 1 and 3? a) The distribution of Exam 1 will be wider and flatter than the distribution of Exam 3. b) The distribution of Exam 1 will be narrower and higher than the distribution of Exam 3. c) The distribution of Exam 1 will be centered to the right of the distribution of Exam 3. d) The distribution of Exam 1 will be centered to the left of the distribution of Exam 3. 3) For a healthy adult, body temperature follows a normal distribution with a mean of 98.2 degrees and a standard deviation of 0.73 degrees. Part A: Label the normal curve below with the mean, mean +1 standard deviation, mean +2 standard deviations, and mean +3 standard deviations. Copyright @ 2021. The Charles A. Dana Center at The University of Texas at AustinIntroductory Statistics First Edition (2021) Student Pages Part B: About what percentage of healthy adults would you expect have body temperatures above 98.2 degrees? a) 5% b) 15% c) 50% d) 80% e) 100% Part C: Use the DCMP Normal Distribution tool at https://dempdatatools.utdanacenter.orgormaldist/ to determine the proportion of healthy adults you expect have body temperatures below 97.8 degrees. Round your answer to 2 decimal places. Note: The answer is a proportion. Part D: About what body temperature would the top 1% of healthy adults have? Use the DCMP Normal Distribution tool and round your answer to 2 decimal places. Make sure to include appropriate units. 4) The following is a normal distribution that models the average number of points per game for NCAA basketball teams in 2021." 70 75.4 80.8 86.2 53.8 59.2 64.6 Part A: What is the mean of the normal distribution? Team Rankings. (2021, April 6). NCAA BB team points per game. https://www.teamrankings.comcaa-basketball/team-stat/scoring- category#-:text=NCAA%20BB%20Team%20Points%20per%20Game%20%20,%20%2075.7%20%ZA* 9620more%20rows %20 Copyright @ 2021, The Charles A. Dana Center at The University of Texas at AustinIntroductory Statistics First Edition (2021) Student Pages Part B: What is the standard deviation of the normal distribution? 5) The 2021 NCAA men's basketball champion was Baylor, whose team averaged 82.9 points per game. Use the DCMP Normal Distribution tool to answer the following questions. Part A: About what percentage of teams averaged more points than Baylor? Round to the nearest hundredth. Part B: About what percentage of teams averaged less than Baylor? Round to the nearest hundredth. 6) The following is a normal distribution of the amount college students spend on eating out per month at a certain college. 137 157 177 197 217 237 257 Part A: How much do these college students spend on eating out, on average, per month? Part B: What is the standard deviation of the amount these college students spend on eating out per month? 7) Use the distribution in Question 6 to answer the following questions. Part A: About what proportion of these college students would you expect to spend over $220 per month on eating out? Copyright @ 2021, The Charles A. Dana Center at The University of Texas at AustinIntroductory Statistics First Edition (2021) Student Pages Part B: About what percentage of these college students would you expect to spend under $190 per month on eating out? Part C: About how much does the top 10% (the 90" percentile) of college students spend per month on eating out? Round your answer to 2 decimal places and include proper units. Copyright @ 2021, The Charles A. Dana Center at The University of Texas at Austin