For sample size 1, the sampling distribution of the mean will be normally distributed
A) regardless of the shape of the population.
B) only if the population is normally distributed.
C) only if the shape of the population is symmetrical.
D) only if the population values are positive.

Question

Quizplus · Accepted Answer

The central limit theorem states that for a sample size greater than 30, the sampling distribution of the mean will be approximately normally distributed regardless of the shape of the population. However, for a sample size of 1, the population must be normally distributed in order for the sampling distribution of the mean to also be normally distributed.

For Sample Size 1, the Sampling Distribution of the Mean