问题如下:
A population has a non-normal distribution with mean µ and variance σ2. The sampling distribution of the sample mean computed from samples of large size from that population will have:
选项:
A.the same distribution as the population distribution.
B.its mean approximately equal to the population mean.
C.its variance approximately equal to the population variance.
解释:
B is correct.
Given a population described by any probability distribution (normal or nonnormal) with finite variance, the central limit theorem states that the sampling distribution of the sample mean will be approximately normal, with the mean approximately equal to the population mean, when the sample size is large.
请问老师A为什么是错的呢?不是说large就会都趋于正态分布吗?不就是same distribution吗?谢谢!