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

Question

Quizplus · Accepted Answer

The sampling distribution of the mean will only be normally distributed for a sample size of 1 if the population is normally distributed. This is because, for small sample sizes, the shape of the sampling distribution is influenced by the shape of the population. In other words, the sample mean is unlikely to be an accurate representation of the population mean if the population is not normal.

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