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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.

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
Section10.4: Distributions Of Data
Problem 19PFA
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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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