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PaisleyPPx · 2020年10月02日

问一道题：NO.PZ2015120604000144 [ CFA I ]

  1. CFA I
  2. Quantitative

问题如下：

Quintina conducts a hypothesis to test whether the variance of the annually return is 0.0144. Then she selects a random 25 year's data as a sample, Quintina figures out the variance of the sample is 0.013924.Assume the level of significance is 5%, which of the following conclusion is least accurate?

选项：

A.

The population variance is not significant different from 0.0144.

B.

The population variance is significantly different from 0.0144.

C.

This hypothesis is appropriate to use the chi-square test.

解释：

B is correct.

The null hypothesis is H0: σ2=0.0144. It is appropriate to use the two-tailed chi-square test.

The test statistic is: χ 2 = (n−1) s 2 σ 0 2 ={(25-1)*0.013924}/0.0144= 23.2067

The critical chi-square critical values are 12.4 and 39.36.

Because the test statistic falls between these two values,so Quintina fails to reject the null hypothesis.

So we conclude that the population variance is not significantly different from 0.0144.

老师 一般考试的时候会不会给我们这个分布表
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1 个答案

星星_品职助教 · 2020年10月08日

同学你好，

相关得到结论的必要信息一定会给，不然题没法做。

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