问一道题：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：

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.

请问，χ²分布就是chi-square test吗？讲义中只提到单个总体方差检验用χ²分布，没看到chi-square test？是原版书里讲的吗？

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1 个答案

星星_品职助教 · 2020年03月15日

同学你好，

卡方分布（chi-square distribution）对应的检验就是卡方检验，英文就是chi-square test。这个和t分布对应的就是t检验是一样的道理。

卡方检验的就是总体方差是否等于一个确定的数。这个上课的时候是讲过的。可以复习基础班最后部分的各种检验的总结

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问一道题：NO.PZ2015120604000146

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