When samples of size n are drawn from a population, then the sampling distribution of the sample mean is approximately normal, provided that n is reasonably large.

Question

When samples of size n are drawn from a population, then the sampling distribution of the sample mean  is approximately normal, provided that n is reasonably large.

Quizplus · Accepted Answer

This is known as the central limit theorem, which states that the sampling distribution of the sample mean will be approximately normal if the sample size is large enough. The exact definition of "reasonably large" can vary, but a common rule of thumb is that n should be at least 30.

When Samples of Size N Are Drawn from a Population