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XIUGINGMAN · 2022年02月02日

为什么用标准误?

NO.PZ2015120604000142

问题如下:

Here is a table shows a set of data which is subject to the normal distribution. Peter sets up a null hypothesis--- H0: μ=8.5. Construct a confidence interval at 1% significance level.

选项:

A.

(8.3227, 9.5763)

B.

(7.6544, 8.5445)

C.

(8.3227, 9.4773)

解释:

C is correct.

2.58×σ=8.9±2.58×1.79/√64=(8.3227, 9.4773)

这道题题干里面的假设用的不是POPULATION的mean吗?那为什么不能直接用题目给的标准差去计算而是还要计算标准误?

1 个答案

星星_品职助教 · 2022年02月02日

同学你好,

所有的假设检验用的都是population的数值。

本题的检验是要用样本均值去推断总体均值是否为8.5,所以是基于样本均值去构建置信区间,对应的也是样本均值的标准差,即标准误。


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