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

Question

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

Quizplus · Accepted Answer

The central limit theorem states that the sampling distribution of the sample mean of a large sample taken from any population will be approximately normal, regardless of the distribution of the population. The sample size of 92 is large enough to apply the central limit theorem, so the sampling distribution of the sample mean is approximately normal.

A Sample of 92 Observations Is Taken from a Process