NO.PZ2023061301000003
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 non-normal) 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, 什么时候 sample mean 等于population mean, 什么时候 standard deviation of the sample 等于 standing deviation of the population ? 此题可以考虑 standard deviation of the sample 等于 standard deviation of the population 吗? 谢谢啦