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ditto · 2024年10月12日

A不对吗

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.

A改成服从normal distribution 对吗

1 个答案
已采纳答案

品职助教_七七 · 2024年10月13日

嗨,从没放弃的小努力你好:


A完全不对。sample mean的分布和总体的分布没有关系。总体无论是什么分布,都不会影响sample mean(近似)的服从正态分布。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!