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 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

For a sample size of 1, the sampling distribution of the mean will only be normally distributed if the population is normally distributed. This is because there is only one observation in the sample, which does not provide enough information to assume that the distribution of the population is symmetrical or to estimate its shape. Therefore, the normality assumption is necessary for the validity of inferential statistics such as confidence intervals and hypothesis testing when the sample size is 1.

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