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

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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Which of the following statements about the sampling distribution of the sample mean, x, is not true?
The distribution is (approximately) normal regardless of the shape of the population distribution, as
long as the sample size, n, is large enough.
O The distribution is normal regardless of the sample size, as long as the population distribution is
normal.
O The distribution's mean is the same as the population mean.
O The distribution's standard deviation is smaller than the population standard deviation.
O All of the above statements about x are correct.
Transcribed Image Text:Which of the following statements about the sampling distribution of the sample mean, x, is not true? The distribution is (approximately) normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. O The distribution is normal regardless of the sample size, as long as the population distribution is normal. O The distribution's mean is the same as the population mean. O The distribution's standard deviation is smaller than the population standard deviation. O All of the above statements about x are correct.
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