Whenever the population has a normal distribution,the sampling distribution of is normal or near normal distribution:
A)For only large sample sizes.
B)For only small sample sizes.
C)For any sample size.
D)For only samples of size 30 or more.

Question

Whenever the population has a normal distribution,the sampling distribution of  is normal or near normal distribution:
A)For only large sample sizes. 
B)For only small sample sizes. 
C)For any sample size. 
D)For only samples of size 30 or more.

Quizplus · Accepted Answer

The central limit theorem states that regardless of the population distribution, the sampling distribution of the mean approaches a normal distribution as the sample size increases. Therefore, the sampling distribution of any sample size from a normal population will be normal or near-normal.

Whenever the Population Has a Normal Distribution,the Sampling Distribution of