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eyn · 2024年09月04日

A答案错在哪里

NO.PZ2022123001000107

问题如下:

Consider a two-tailed test of the hypothesis that the population mean is zero. The sample has 50 observations. The population is normally distributed with a known variance.


At a 0.05 significance level, the rejection points are most likely at:

选项:

A.–2.010 and 2.010 B.–2.009 and 2.009 C.–1.960 and 1.960

解释:

The appropriate test statistic is a z-statistic because the sample comes from a normal distributed population with known variance. A z-test does not use degrees of freedom. This test is two-sided at the 0.05 significance level, and the rejection point conditions are z > 1.960 and z < –1.960.

df=50-1=49,

two tailed- a/2

然后得出答案A,错在哪里了呢?

1 个答案

袁园_品职助教 · 2024年09月05日

嗨,从没放弃的小努力你好:


因为A选项用的是t检验,首先方差已知,正态分布应该用Z分布,而不是t分布。所以A错误。


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