Which of the following statements about the sampling distribution of the sample mean is not true? a. The sampling distribution of the sample mean is approximately normal whenever the sample size is sufficiently large. b. The sampling distribution of the sample mean is generated by repeatedly taking samples of size n and computing the sample means. c. The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the sample size. d. The mean of the sampling distribution of the sample mean is equal to the population mean. e. none of the above.

Which of the following statements about the sampling distribution of the sample mean is not true? a. The sampling distribution of the sample mean is approximately normal whenever the sample size is sufficiently large. b. The sampling distribution of the sample mean is generated by repeatedly taking samples of size n and computing the sample means. c. The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the sample size. d. The mean of the sampling distribution of the sample mean is equal to the population mean. e. none of the above.

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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Question

Which of the following statements about the sampling distribution of the sample mean is not true?

	a.	The sampling distribution of the sample mean is approximately normal whenever the sample size is sufficiently large.
	b.	The sampling distribution of the sample mean is generated by repeatedly taking samples of size n and computing the sample means.
	c.	The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the sample size.
	d.	The mean of the sampling distribution of the sample mean is equal to the population mean.
	e.	none of the above.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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