If a population is known to be normally distributed, what can be said of the sampling distribution of the sample mean drawn from this population? A) For any sample size n, the sampling distribution of the sample mean is normally distributed. B) For a sample size n

Question

If a population is known to be normally distributed, what can be said of the sampling distribution of the sample mean drawn from this population?
A) For any sample size n, the sampling distribution of the sample mean is normally distributed.
B) For a sample size n < 50, the sampling distribution of the sample mean is normally distributed.
C) For a sample size n < 30, the sampling distribution of the sample mean is normally distributed.
D) For a sample size n > 30, the sampling distribution of the sample mean is normally distributed.

Quizplus · Accepted Answer

When the population is normally distributed, the sampling distribution of the sample mean is also normally distributed for any sample size n, according to the Central Limit Theorem.

If a Population Is Known to Be Normally Distributed, What