Which of the following statements about the sampling distribution of the sample mean, ¯x, is not true? The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. The sampling distribution's mean is the same as the population mean. The sampling distribution's standard deviation is smaller than the population standard deviation. All of the above statements are correct.
Which of the following statements about the sampling distribution of the sample mean, ¯x, is not true? The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. The sampling distribution's mean is the same as the population mean. The sampling distribution's standard deviation is smaller than the population standard deviation. All of the above statements are correct.
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 sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.
- The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal.
- The sampling distribution's mean is the same as the population mean.
- The sampling distribution's standard deviation is smaller than the population standard deviation.
- All of the above statements are correct.
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