When the population has a normal distribution, the sampling distribution of $X$ is normally distributed _____.
A) for any sample size
B) for any sample size of 30 or more
C) for any sample size of 50 or more
D) for any sample from a finite population

Question

Quizplus · Accepted Answer

When the population has a normal distribution, the sampling distribution of the sample mean $X$ will also be normally distributed for any sample size, according to the Central Limit Theorem. This holds true regardless of the sample size, even if it is less than 30 or 50, making option A correct.

When the Population Has a Normal Distribution, the Sampling Distribution XXX

When the Population Has a Normal Distribution, the Sampling Distribution $X$