The mean of the sampling distribution of sample mean is equal to the mean of the population from which the samples are selected to construct the sampling distribution.

Question

The mean of the sampling distribution of sample mean  is equal to the mean of the population from which the samples are selected to construct the sampling distribution.

Quizplus · Accepted Answer

By the central limit theorem, as the sample size increases, the sampling distribution of sample mean approaches a normal distribution with a mean equal to the population mean. Therefore, the mean of the sampling distribution of sample mean is equal to the population mean.

The Mean of the Sampling Distribution of Sample Mean