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如此_AnnieCcc · 2021年02月06日

不是说x平方这个不考吗。。。

  1. CFA I
  2. Quantitative

NO.PZ2015120604000144

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.

怎么还有题。。。

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已采纳答案

星星_品职助教 · 2021年02月07日

同学你好，

考纲上对于卡方检验的要求是“indentify”，并不是“calculate”

identify the appropriate test statistic and interpret the results for a hypothesis test concerning 1) the variance of a normally distributed population

考纲对卡方统计量的计算没有要求。这个检验本身也不是重点（重点是检验均值是否等于一个确定的数），过往考察最多的是要求识别出当检验“方差是否等于一个确定的数”时应该用的是卡方检验（本题C选项的那种考法）

但2020年的Mock里出现了卡方统计量的计算考察。所以为了稳妥起见，可以当做一个不重要的公式考前看一眼。

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