One result of the central limit theorem is that the mean of a sampling distribution of the mean is never equal to the population mean.

Question

Quizplus · Accepted Answer

This statement is false. The central limit theorem states that as the sample size increases, the sampling distribution of the mean approaches a normal distribution with a mean equal to the population mean. Therefore, in large enough samples, the mean of the sampling distribution can approach or even be equal to the population mean.

One Result of the Central Limit Theorem Is That the Mean