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luckylxl · 2024年11月18日

这个是双尾T检验，请问B为什么不对呢？

NO.PZ2015120604000145

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 A is equal to 22%,

which of the following conclusion is least appropriate (significant level=1%) ?

选项：

A.

The null hypothesis can be rejected.

B.

It is appropriate to use a two-tailed t-test.

C.

The test statistic value is 1.333.

解释：

A is correct.

The null hypothesis: $H_{0} : μ = 22 %.$

Because the sample size is 25, which is less than 30, so it is appropriate to use the two-tailed t-test.

$t=\frac{（X-\mu_0）}{\frac s{\sqrt n}}={\textstyle\frac{(0.26-0.22)}{\textstyle\frac{0.15}{\sqrt{25}}}}=1.33$

t at α= 0.01= ±2.797;

Because -2.797 <1.333<+2.797, therefore, H₀ cannot be rejected.

这个是双尾T检验，请问B为什么不对呢？

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品职助教_七七 · 2024年11月18日

嗨，努力学习的PZer你好：

这道题要求的是“least appropriate”，所以描述正确的B不能选。

----------------------------------------------
虽然现在很辛苦，但努力过的感觉真的很好，加油！

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