单选题

If the distribution of the population from which samples of size n are drawn is positively skewed and given that the sample size, n, is large, the sampling distribution of the sample means is most likely tohave a:

A、 mean smaller than the mean of the entire population.
B、 variance equal to that of the entire population.
C、 distribution that is approximately normal.

【正确答案】 C

【答案解析】

Given a population that has a finite variance and a large sample size, the central limit theorem establishes that the sampling distribution of sample means will be approximately normal, will have a mean equal to the population mean, and will have a variance equal to the population variance divided by the sample size.