NO.PZ2022123001000087
问题如下:
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 to have a:
选项:
A.variance equal to that of the entire population.
B.mean smaller than the mean of the entire population.
C.distribution that is approximately normal.
解释:
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, the distribution of sample mean will have a mean equal to the population mean, and will have a variance equal to the population variance divided by the sample size.
我也知道中心极限定理,但是被positively skewed 误导了