The sampling distribution of the mean will be normal if the original population from which the samples were drawn is normally distributed.

Question

Quizplus · Accepted Answer

This is known as the central limit theorem, which states that the sampling distribution of the mean approaches a normal distribution as the sample size increases, regardless of the distribution of the original population. However, if the original population is already normally distributed, then the sampling distribution of the mean will also be normal, regardless of sample size.

The Sampling Distribution of the Mean Will Be Normal If