The mean of the sampling distribution of $\bar { X }$
is always equal to the mean of the sampled population.

Question

The mean of the sampling distribution of $\bar { X }$ 
is always equal to the mean of the sampled population.

Quizplus · Accepted Answer

The central limit theorem states that as the sample size increases, the distribution of sample means approaches a normal distribution with a mean equal to the population mean. Therefore, the mean of the sampling distribution of $\bar{X}$ is always equal to the mean of the sampled population.

The Mean of the Sampling Distribution Of Xˉ\bar { X }Xˉ

The Mean of the Sampling Distribution Of $\bar { X }$