For a sample size of 1,the sampling distribution of the mean is normally distributed:
A)regardless of the shape of the population.
B)only if the population values are larger than 30.
C)only if the population is normally distributed.
D)None of these choices.

Question

Quizplus · Accepted Answer

The sampling distribution of the mean is only normally distributed for a sample size of 1 if the population is normally distributed. This is because there is no opportunity for the central limit theorem to come into play with a sample size of 1, which allows for the normal distribution of the sampling distribution of the mean for larger sample sizes.

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