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黄祯炜Chris · 2020年09月03日

问一道题：NO.PZ2015120604000135

  1. CFA I
  2. Quantitative

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 $46,470. Assume the standard deviation of the population is 1370. Ida Lee conducts a hypothesis test to check their conclusion. Which of the following test is least appropriate ?

选项：

A.

One-tailed test.

B.

Two-tailed test.

C.

One-sided test.

解释：

B is correct.

The null hypothesis is: H0: μ≤ $46,435, then Hα: μ＞$46,435, which indicates it is a one-tailed test, also called one-sided test.

这题没明白啊，为什么不可以假设μ0=46370，μa≠46470

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2 个答案

品职助教_七七 · 2024年10月15日

嗨，爱思考的PZer你好：


@ditto X bar是样本值，μ是总体参数。

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虽然现在很辛苦，但努力过的感觉真的很好，加油！

星星_品职助教 · 2020年09月04日

同学你好，

题干中说明Lee的看法是“ the mean price of SUV is more than $46,435 in his country”，所以这是他认为正确的结论，也就是说备择假设为Ha：μ＞46435，所以原假设就是H0：μ≤46435.

46470是选出来的sample的平均值，也就是X bar的概念，并不是μ的概念。假设检验检验的是总体均值，不是检验样本统计量。

此外这道题其实并不用去考虑原假设和备择假设到底是大于还是小于，只要看到Lee认为 the mean price of SUV is more than $46,435 in his country，就可以确定这是一个单尾检验了，直接选择错误的B即可。

ditto · 2024年10月13日

“也就是X bar的概念，并不是μ的概念” 这两个概念有什么区别

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