For a given population with a normal probability distribution,the sampling distribution of is a normal probability distribution for ________.
A)small sample sizes only
B)any sample size
C)large sample sizes only
D)sample sizes greater than 30 only

Question

For a given population with a normal probability distribution,the sampling distribution of  is a normal probability distribution for ________.
A)small sample sizes only 
B)any sample size 
C)large sample sizes only 
D)sample sizes greater than 30 only

Quizplus · Accepted Answer

The sampling distribution of means follows a normal probability distribution for any sample size when the population from which the samples are taken also has a normal distribution. This is known as the central limit theorem. Therefore, the sampling distribution of 11ea71e6_5be0_6235_91e5_898f7f23cc14_TB2636_11 is a normal probability distribution for any sample size, as long as the population follows a normal distribution.

For a Given Population with a Normal Probability Distribution,the Sampling