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.

Question

Quizplus · Accepted Answer

When the population distribution is highly skewed and non-normal (like distribution A), it will require a larger sample size to achieve the same degree of normality as a population distribution that is slightly skewed and near normal (like distribution B). This is because a larger sample size helps to reduce the impact of extreme values and outliers, which tend to have a greater influence on smaller sample sizes.

Consider Two Population Distributions Labeled a and B