Which of the following statements about the sampling distribution of $\bar { X }$ is NOT true?
A)It is generated by taking all possible samples of size n and computing their sample means.
B)Its mean is equal to the population mean $\mu$.
C)Its standard deviation is equal to the population standard deviation $\mu$.
D)All of these choices are true.

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of $\bar{X}$ is equal to the population standard deviation divided by the square root of the sample size ($\sigma/\sqrt{n}$), not the population standard deviation $\mu$.

Which of the Following Statements About the Sampling Distribution Of \bar