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Which of the following statements is INCORRECT about the sampling distribution o

ID: 3230372 • Letter: W

Question

Which of the following statements is INCORRECT about the sampling distribution of the sample mean:

options:

The standard error of the sample mean will decrease as the sample size increases.

The standard error of the sample mean is a measure of the variability of the sample mean among repeated samples.

The sample mean is unbiased for the true (unknown) population mean.

The sampling distribution shows how the sample was distributed around the sample mean.

The standard error of the sample mean will decrease as the sample size increases.

The standard error of the sample mean is a measure of the variability of the sample mean among repeated samples.

The sample mean is unbiased for the true (unknown) population mean.

The sampling distribution shows how the sample was distributed around the sample mean.

Explanation / Answer

Sample mean has sampling distribution centered at population mean, so following statement is wrong:

The sampling distribution shows how the sample was distributed around the sample mean.

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