问一道题：NO.PZ2015120604000146 [ CFA I ]

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：

It is appropriate to use the F-test.

The hypothesis is : $H_{0} : σ^{2} \leq 3.24 %.$

It is appropraite to use the chi-square test.

解释：

A is correct.

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

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

这个是两个数不是应该用F-test吗卡方分布是两个数等于一个固定的数值，但是题目的数值两个想等呀

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星星_品职助教 · 2021年06月26日

同学你好，

卡方检验是检验一个方差是否等于/大于/小于一个固定的数字。

F检验是检验两个方差之间的关系。

本题需要检验的是“the variance of bond A is greater than 3.24%”，所以需要采用卡方检验

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问一道题：NO.PZ2015120604000146 [ CFA I ]

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