Whenever the population has a normal probability distribution, the sampling distribution of $\bar { X }$ is a normal probability distribution for _____.
A) only large sample sizes
B) only small sample sizes
C) any sample size
D) only samples of size 30 or greater

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed regardless of the shape of the population distribution, as long as the sample size is sufficiently large. However, if the population itself is normally distributed, then the sampling distribution of the sample mean will be normally distributed for any sample size, not just large ones.

Whenever the Population Has a Normal Probability Distribution, the Sampling Xˉ\bar { X }Xˉ

Whenever the Population Has a Normal Probability Distribution, the Sampling $\bar { X }$