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

According to the Central Limit Theorem, the sampling distribution of the mean will be approximately normally distributed, regardless of the sample size, as long as the population follows a normal distribution or the sample size is large enough (n > 30) and the population is not strongly skewed. Therefore, the sampling distribution of 11ea86e1_d6f7_5b84_a30f_9fe3c031a9dc_TB2162_11 will be normally distributed for any sample size if the population is normal.

Whenever the Population Has a Normal Probability Distribution, the Sampling