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 for any population with a finite mean and variance, 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 is normally distributed for any sample size.

Whenever the Population Has a Normal Probability Distribution, the Sampling