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PaisleyPPx · 2019年10月07日

问一道题:NO.PZ2015120604000137 [ CFA I ]

问题如下图:

选项:

A.

B.

C.

解释:

老师,原假设H0到底是和问题的设定一致还是相反?

1 个答案

星星_品职助教 · 2019年10月08日

同学你好,

这道题仍然是遵循“想证明的放在备择假设”的原则。关于这个原则在你问的另一道题里有详述。这道题其实就是想证明结论mean price is more than 46435(备择假设)。所以原假设是μ≤46435,备择假设为μ>46435。所以这是一个拒绝域在右侧的单尾的假设检验。本题的解题思路为算出来t统计量为1.8978,如果大于对应significance level下的critical value就拒绝。通过查t表得出三个对应critical value后逐个对比即可。这道题考点并不是在考察“设假设”的步骤,而是在考如何做判断。

结合你另一道题的问题,注意不同角度的思路要区分开。本题的思路是“想证明μ>46435”,所以直接放入备择假设。

而不是本认为μ>46435,但是突然发现了个均值只有200的证据,所以想去证明μ其实是小于等于46435的。如果是这种情况的话,备择假设就应该是μ<46435了。

加油

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