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十个馒头 · 2022年07月11日

这道题为什么bonda和bondb属于single population 如何和f分布做区别呢

  1. CFA I
  2. Quantitative

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: σ2≤3.24%.

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.

这道题为什么bonda和bondb属于single population 如何和f分布做区别呢

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已采纳答案

星星_品职助教 · 2022年07月13日

同学你好，

本题检验的是一个（总体的）方差和一个特定数字的关系（whether the variance of bond A is greater than 3.24%），对应的是卡方分布。F分布检验的是两个不同（总体的）方差之间的关系。

“a single population variance”指的就是“一个总体方差”。

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