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

Whenever the population has a normal distribution, the sampling distribution of the mean will be normal or near normal, regardless of the sample size. This is due to the central limit theorem, which states that as sample size increases, the sampling distribution of the mean becomes more normal, even for non-normal populations.

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