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

Question

Quizplus · Accepted Answer

The central limit theorem states that regardless of the original population distribution, the sampling distribution of the mean will be approximately normally distributed with a larger sample size. However, for a sample size of 1, the sampling distribution of the mean will only be normally distributed if the population from which the sample is taken is normally distributed.

For Sample Size 1,the Sampling Distribution of the Mean Will