Whenever the population has a normal probability distribution, the sampling distribution of is a normal probability distribution for
A)only large sample sizes
B)only small sample sizes
C)any sample size
D)only samples of size thirty or greater

Question

Whenever the population has a normal probability distribution, the sampling distribution of  is a normal probability distribution for
A)only large sample sizes 
B)only small sample sizes 
C)any sample size 
D)only samples of size thirty or greater

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the population distribution. Therefore, the sampling distribution of the mean will be normal for any sample size if the population distribution is normal.

Whenever the Population Has a Normal Probability Distribution, the Sampling