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XIUGINGMAN · 2020年04月03日

问一道题: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 and sample variances are significantly different.

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 = (n1) 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.

请问卡方分布不是不需要掌握计算吗?

1 个答案

星星_品职助教 · 2020年04月03日

同学你好,

卡方分布的检验统计量公式需要掌握,但考的不多

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