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vee · 2022年11月09日

虽然做对了,但是不理解

NO.PZ2018062016000140

问题如下:

During the table below, the mean monthly return of X Index in the first five years have been different than the mean return in the second five years.

Let the μ1 stand for the population mean return for the year1 through year 5 and μ2 stand for the population mean return for the year 6 through year 10, the following hypothese: H0: μ1 – μ2 = 0 versus Ha: μ1 – μ2 ≠ 0

Assume that the significant level is 0.05

Which of the following options is most accurate?

选项:

A.

The null hypothesis will be rejected if t<-1.98 or t>1.98.

B.

The t-test has 119 degrees of freedom.

C.

The rejection points are ±1.658.

解释:

A is correct. The two samples are drawn from two different time periods, so they are independent samples. The population variances can be assumed to be equal. Under all considerations, the t-test has 60+60-2=118 degrees of freedom.For a two-tailed test, at the significant level of 0.05, the rejection points are ±1.980, so we will reject the null if t<-1.980 or t>1.980.

为什么是t分布呢

1 个答案
已采纳答案

星星_品职助教 · 2022年11月10日

同学你好,

原则为:总体方差已知用z,总体方差未知用t,非正态总体+小样本不可估计。

本题为大样本(N>30),已知的只有表格中的样本方差,总体方差不知道。所以要用t分布。

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