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过儿 · 2022年04月11日

t分布这张表

  1. CFA I
  2. Quantitative

NO.PZ2015120604000137

问题如下：

Ida Lee and his team collect a lot of analysis of statistical data about the car market .According to the data, they come to the conclusion that the mean price of SUV is more than $46,435 in his country. Then they randomly select 64 SUVs whose mean price is $46,760. Assuming the standard deviation of the sample is 1370. Ida Lee conducts a hypothesis test to check their conclusion. At which significant level should Ida Lee reject the null hypothesis?

选项：

A.

0.5%.

B.

5%.

C.

1%.

解释：

B is correct.

If the significant level is 5%, the critical value=1.669<1.8978, Ida Lee should reject the null.

If the significant level is 0.5%, the critical value=2.656>1.8978, Ida Lee will fail to reject the null.

If the significant level is 1%, the critical value=2.387>1.8978, Ida Lee will fail to reject the null.


问题1.t分布这张表是单尾的麻，我查t表，按照60自由度，p=0.025查出来是2，感觉不对。


问题2.我想按照Z的参考，a越大，数字越小，1.65，1.96，2.58，所以我选了数字最大的，这样想对吗，

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2 个答案

星星_品职助教 · 2022年07月16日

@xixi

同学你好，

 df =60, p=0.05对应的是1,.671，

在没有62这个自由度的时候，可以用这个值来做近似。

星星_品职助教 · 2022年04月13日

同学你好，

1）原版书上的t表看的是右尾概率。如果本题的significance=5%，就需要查p=0.05.

2）可以这样判断。

xixi · 2022年07月16日

老师好，我在Student T-Distribution 表里， df =60, p=0.05 看到的是 2.000， 没找到1.669这个value。能再具体说一下查表过程吗？

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