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According to one study, brain weights of men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.12 kg. Use the data to answer questions (a) through (e). a. Determine the sampling distribution of the sample mean for samples of size 3. The mean of the sample mean is μ=- The standard deviation of the sample mean is σ = - (Round to four decimal places as needed.) b. Determine the sampling distribution of the sample mean for samples of size 12. The mean of the sample mean is μ," = The standard deviation of the sample mean is o; = (Round 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.

According to one study, brain weights of men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.12 kg. Use the data to answer questions (a) through (e). a. Determine the sampling distribution of the sample mean for samples of size 3. The mean of the sample mean is μ=- The standard deviation of the sample mean is σ = - (Round to four decimal places as needed.) b. Determine the sampling distribution of the sample mean for samples of size 12. The mean of the sample mean is μ," = The standard deviation of the sample mean is o; = (Round 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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K According to one study, brain weights of men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.12 kg. Use the data to answer questions (a) through (e). a. Determine the sampling distribution of the sample mean for samples of size 3. The mean of the sample mean is μ-=- The standard deviation of the sample mean is σ = (Round to four decimal places as needed.) b. Determine the sampling distribution of the sample mean for samples of size 12. - The mean of the sample mean is μx = - The standard deviation of the sample mean is o; = (Round 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.
Transcribed Image Text:K According to one study, brain weights of men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.12 kg. Use the data to answer questions (a) through (e). a. Determine the sampling distribution of the sample mean for samples of size 3. The mean of the sample mean is μ-=- The standard deviation of the sample mean is σ = (Round to four decimal places as needed.) b. Determine the sampling distribution of the sample mean for samples of size 12. - The mean of the sample mean is μx = - The standard deviation of the sample mean is o; = (Round 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.
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