For a population with an unknown distribution, the form of the sampling distribution of the sample mean is _____.
A) approximately normal for all sample sizes
B) exactly normal for large sample sizes
C) exactly normal for all sample sizes
D) approximately normal for large sample sizes

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normal for large sample sizes (typically n > 30) regardless of the population distribution. Thus, option D is the best choice as it reflects this idea.

For a Population with an Unknown Distribution, the Form of the Sampling