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Benny™ · 2022年11月06日

为什么C是错误的呢

NO.PZ2015120604000147

问题如下:

Here is a table discribing sample statistics from two bonds' rate of return which are both normally distributed over the past decades. If an investor is considering whether the mean of bond B is greater than 26%,

which of the following conclusion is least appropriate (significant level=5%) ?

选项:

A.

It is approptiate to use the Z-test.

B.

The mean of bond B is not significant greater than 26%.

C.

It is a one-tailed test.

解释:

B is correct.

It is appropraite to ues the one-tailed Z-test because the sample size of bond B is bigger than 30.

The null hypothesis is: H0: μ 26%

The test statistic:


α= 5% indicates the critical value is equal to ±1.65.

Because 1.91>1.65, therefore, we should reject the null hypothesis.

如题

1 个答案

星星_品职助教 · 2022年11月06日

同学你好,

检验的单双尾判断取决于备择假设。

根据题干中的“If an investor is considering whether the mean of bond B is greater than 26%”,可知本题的备择假设为Ha:μ>26%。

所以这是一个单尾检验,拒绝域在右侧。C选项的描述本身是正确的,但因为本题要选择的是“least appropriate”,所以不能选。

------

此后提问需要具体描述一下自己的问题和自己的解题思路。

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