A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately
A)normal because is always approximately normally distributed
B)normal because the sample size is small in comparison to the population size
C)normal because of the central limit theorem
D)None of these alternatives is correct.

Question

A sample of 92 observations is taken from an infinite population. The sampling distribution of  is approximately
A)normal because is always approximately normally distributed 
B)normal because the sample size is small in comparison to the population size 
C)normal because of the central limit theorem 
D)None of these alternatives is correct.

Quizplus · Accepted Answer

The central limit theorem states that the sampling distribution of means will be approximately normal as long as the sample size is sufficiently large (usually at least 30) and the population is not extremely skewed. Therefore, the sampling distribution of the sample mean will be approximately normal in this case.

A Sample of 92 Observations Is Taken from an Infinite