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A variable of a population has a mean of μ = 250 and a standard deviation of o 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? O A. Normal distribution. OB. Uniform distribution. O C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? O A. Yes, the sampling distribution of the sample mean is always normal. O B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation O C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.

A variable of a population has a mean of μ = 250 and a standard deviation of o 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? O A. Normal distribution. OB. Uniform distribution. O C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? O A. Yes, the sampling distribution of the sample mean is always normal. O B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation O C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A variable of a population has a mean of μ = 250 and a standard deviation of σ = 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? O A. Normal distribution. O B. Uniform distribution. O C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? O A. Yes, the sampling distribution of the sample mean is always normal. O B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation O C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
Transcribed Image Text:A variable of a population has a mean of μ = 250 and a standard deviation of σ = 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? O A. Normal distribution. O B. Uniform distribution. O C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? O A. Yes, the sampling distribution of the sample mean is always normal. O B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation O C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
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