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毛线 · 2021年05月12日

这题是双尾所以对应的T分布表的P=0.005？

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：

The null hypothesis can be rejected.

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

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.

$t_{24} = \frac{x - μ_{0}}{\frac{s}{\sqrt{n}}} = \frac{0.26 - 0.22}{\frac{0.15}{\sqrt{25}}} = 1.333$

±t₂₄ at α= 0.01= ±2.797;

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

这题是双尾所以对应的T分布表的P=0.005？单尾就是0.01？

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星星_品职助教 · 2021年05月12日

同学你好，

你提到的“这题是双尾所以对应的T分布表的P=0.005？单尾就是0.01？”在对应t分布表是单尾（one tailed）的情况下成立。

单尾t表只看单尾面积，所以双尾检验，significant level=1%时相当于单尾面积为1%/2=0.5%，此时要看的就是0.5%所对应的关键值。

如果是单尾检验，直接就看单尾面积1%对应的关键值。

原版书中给出的t表是单尾的，所以这种方法考察的概率比较高。

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但如果是双尾t表，那么本题对应的关键值直接就看1%的，这种考法曾经在mock题里出现过。

而此时1%单尾检验要看的就是双尾t表中2%所对应的关键值。这种考法很少见。

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NO.PZ2015120604000145 问题如下 Here is a table scribing sample statistifrom two bon' rate of return whiare both normally stributeover the past cas. If investor is consiring whether the meof bonA is equto 22%,whiof the following conclusion is least appropriate (significant level=1%) ? A.The null hypothesis crejecte B.It is appropriate to use a two-tailet-test. C.The test statistic value is 1.333. A is correct.The null hypothesis: H0: μ=22%.Because the sample size is 25, whiis less th30, so it is appropriate to use the two-tailet-test.t=（X−μ0）sn=(0.26−0.22)0.1525=1.33t=\frac{（X-\mu_0）}{\frs{\sqrt n}}={\textstyle\frac{(0.26-0.22)}{\textstyle\frac{0.15}{\sqrt{25}}}}=1.33t=ns（X−μ0）=250.15(0.26−0.22)=1.33t α= 0.01= ±2.797;Because -2.797 1.333 +2.797, therefore, H0 cannot rejecte 请问: 考试这题怎么做？significant leval=1%, t检验是n-1. 这个考试中有表可以查吗？

2024-08-09 07:08 1 · 回答

2024-04-09 12:01 1 · 回答

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2024-04-03 23:48 1 · 回答

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2023-10-31 16:02 1 · 回答

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2023-09-12 15:14 1 · 回答

这题是双尾 所以对应的T分布表的P=0.005？

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这题是双尾所以对应的T分布表的P=0.005？