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lem 15. A variable of a population has a mean of μ = 150 and a standard deviation of o = 21. sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean ard deviation part (a) to be true, what assumption did you make about the distribution of the variable under consideration? Normal distribution. No assumption was made. Uniform distribution. e statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? Yes, the sampling distribution of the sample mean is always normal. and No, the sampling distribution of the sample mean is never normal for sample size less than 30. 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.

lem 15. A variable of a population has a mean of μ = 150 and a standard deviation of o = 21. sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean ard deviation part (a) to be true, what assumption did you make about the distribution of the variable under consideration? Normal distribution. No assumption was made. Uniform distribution. e statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? Yes, the sampling distribution of the sample mean is always normal. and No, the sampling distribution of the sample mean is never normal for sample size less than 30. 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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Problem 15. A variable of a population has a mean of μ = a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean standard deviation b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Normal distribution. 150 and a standard deviation of o = 21. B. No assumption was made. C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. Yes, the sampling distribution of the sample mean is always normal. B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and 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:Problem 15. A variable of a population has a mean of μ = a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean standard deviation b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Normal distribution. 150 and a standard deviation of o = 21. B. No assumption was made. C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. Yes, the sampling distribution of the sample mean is always normal. B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and 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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