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

Question

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

Quizplus · Accepted Answer

This statement is correct according to the central limit theorem, which states that the sampling distribution of a large enough sample size will be approximately normal, regardless of the distribution of the population being sampled from.

The Sampling Distribution of Is Normal If the Sampled