If the sampled population is exactly normally distributed,then the sampling distribution of $\bar { X }$
is also expected to be normal,regardless of the sample size.

Question

If the sampled population is exactly normally distributed,then the sampling distribution of $\bar { X }$ 
is also expected to be normal,regardless of the sample size.

Quizplus · Accepted Answer

If the population is exactly normally distributed, then the sampling distribution of the sample mean will also be normally distributed regardless of the sample size. This is a key assumption that underlies many statistical tests and allows us to make valid inferences about the population based on sample data.

If the Sampled Population Is Exactly Normally Distributed,then the Sampling Xˉ\bar { X }Xˉ

If the Sampled Population Is Exactly Normally Distributed,then the Sampling $\bar { X }$