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 $\sigma$.
D) All of these choices are true.

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of $\bar{X}$, known as the standard error, is equal to the population standard deviation divided by the square root of the sample size, not equal to the population standard deviation itself.

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