The sampling distribution of is normal if the sampled populations are normal,and approximately normal if the populations are nonnormal and the sample sizes n₁ and n₂ are large.

Question

Quizplus · Accepted Answer

This statement is true. It is a known fact in statistics that the sampling distribution of a sample mean is approximately normal if the sample size is large (n>30) regardless of the population distribution. However, if the populations are normal, then the sampling distribution of the sample mean is also normal regardless of the sample size.

The Sampling Distribution of Is Normal If the Sampled