t PearsonAccess X i 6 Pearson MyLaband Mastering x ' CourseHome X 9 Do Homework-Chapter#7- X ||| StatCrunch x i + v (- C' E mylabpearson.com/Student/P|ayerHomework.aspx?homeworkld=633739535&question|d:2&flushed=fa|se&c|d=7115259¢erwin=yes 1 '1'! I I I] 0 5 Math 10 - Statistics 8200 (Fall 2022) Lana Ashre 11/01/221:02 AM . Question 12, 7.3.67 HW Score: 81.39%, 11.39 of 14 points Homework. Chapter #7 - Homework 9 Poim: 0'86 0\" According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.12 kg. Use the data to answer pans (a) through (e). Question list K- , , Click here to View page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. 0 Question 6 0 Question 7 a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms ofthe distribution of all possible sample mean brain weights for samples ofthree men. The mean of the sample mean is u; = 1.50 kg. . T e an inte er or a decimal. Do not round 0 Question 8 ( W 9 ) The standard deviation of the sample mean is a; = 0.0693 kg. (Round to four decimal places as needed.) VJ Question 9 . Interpret these answers In context. For samples of three men, the possible sample mean brain weights have a normal distribution with a mean of 1.50 kg and a standard deviation of 0.0693 kg. 7/ Question 1 0 (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. 0 Question 1 1 The mean of the sample mean is p; = 1.50 . (Type an integer or a decimal. Do not round.) x . The standard deviation of the sample mean is o = 0.0346 . 4 Question 12 x (Round to four decimal places as needed.) Interpret these answers in context. "/ Question 13 For samples of 12 men, the possible sample mean brain weights have a normal distribution with a mean of 1.50 kg and a standard deviation of 0.0346 kg. (Type integers or decimals rounded to four decimal places as needed.) 0 Question 14 1:. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below. Help me solve this View an example Get more help A Clear all w Pearson Access X Pearson MyLab and Mastering X Course Home x Do Homework - Chapter #7 - H X I StatCrunch X + C mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=633739535&questionld=2&flushed=false&cld=7115259¢erwin=yes Math 10 - Statistics 8:00 (Fall 2022) Lana Ashre 11/01/22 1:02 AM Homework: Chapter #7 - Homework Question 12, 7.3.67 HW Score: 81.39%, 11.39 of 14 points Part 11 of 11 Points: 0.86 of 1 Save K According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.12 kg. Use the data to answer parts (a) through (e). Question list Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. Question 6 Question 7 (Type integers or decimals rounded to four decimal places as needed.) c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below. Question 8 O A. O B. CC. O D. : n= 3 . Pop : n = 12 . Pop Question 9 . . : n = 12 n= 3 n=3 n = 12 Pop n = 12 Pop n=; Question 10 1.5 1.5 1.5 1.5 d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.50 kg. Interpret your answer in terms of sampling error. Question 11 85. 10 % (Round to two decimal places as needed.) Question 12 This is the percentage that the sampling error made in estimating the mean brain weight of all men by that of a sample of three men will be at most 0.1 kg. e. Repeat part (d) for samples of size 12. Question 13 The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.50 kg is 99.61 %. (Round to two decimal places as needed.) Question 14 This is the percentage that the sampling error made in estimating the mean brain weight of all men by that of any sample of men will be at most 0.1 kg. Help me solve this View an example Get more help - Clear all Final check