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刘茜娅 · 2022年03月17日

A选项为啥错,C选项为啥对

NO.PZ2015120604000146

问题如下:

Here is a table discribing sample statistics from two bonds' rate of return which are both normally distributed over the past decades. If an investor is considering whether the variance of bond A is greater than 3.24%,

which of the following conclusion is least appropriate (significant level=5%) ?

选项:

A.

It is appropriate to use the F-test.

B.

The hypothesis is :H0: σ23.24%.

C.

It is appropraite to use the chi-square test.

解释:

The chi-square test is used to test hypotheses concerning a single population variance.So C is correct.

The null hypothesis can place in whatever you want to reject, so B is correct.

题干问选择least appropriate,So choose A.

X²是检验一个总体的方差的,题目中bondA和bondB是检验两个总体方差,为什么用F分布是不对的呢?错三次了,就是整不明白

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已采纳答案

星星_品职助教 · 2022年03月17日

同学你好,

这道题要检查的是“whether the variance of bond A is greater than 3.24%”,这是在检验A的方差是不是等于一个确定的数字3.24%,所以应该用卡方检验。

如果题目还要检验B的方差是否也等于一个确定的数,那还是应该应用卡方检验。

只有在检验 A的方差是不是 等于/大于等于/小于等于 B的方差时,才是两个方差之间的比较,此时才要用到F检验。

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