Consider two population distributions labeled A and B. Distribution A is highly skewed and nonnormal, while distribution B is slightly skewed and near normal. In order for the sampling distributions of A and B to achieve the same degree of normality,
A) population A will require a larger sample size.
B) population B will require a larger sample size.
C) populations A and B will require the same sample size.
D) None of these answers is correct.

Question

Quizplus · Accepted Answer

This is because of the central limit theorem. Although the sample population is not normal and highly skewed, if there is a large enough sample size, it will start to approach a degree of normality.

Consider Two Population Distributions Labeled a and B