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472121 · 2019年06月23日

问一道题:NO.PZ2015120604000137 [ CFA I ]

问题如下图:

选项:

A.

B.

C.

解释:

1、原假设是小于等于46435,one tail

2、求出1.89的test statisic

3、不会画分布了,单尾是不是小于1.89都是拒绝域?

请问第三步怎么做,另外步骤有错吗?

3 个答案

源_品职助教 · 2019年06月28日

因为样本个数大于30用Z的原理是,此时T分布趋向于Z分布,所以只是用近似分布Z代替了精准分布T

源_品职助教 · 2019年06月24日

1.用Z检验也可以,但是没有T检验精确。题目是用了最精确的检验方式

2.对的,T检验和Z检验同一显著性水平下的关键值会有差异。

污叫兽 · 2019年06月28日

同问为什么Z没有T精确

源_品职助教 · 2019年06月24日

第二步表述的步不太准确,应该是求出T检验统计量

第三步找到拒绝域,拒绝域的符号和备择假设符号相同,本题的备择假设是大于46435.那么拒绝域就是大于关键值1.89的区域

472121 · 2019年06月24日

1、为什么是t检验呢?64台车子不是超过30了吗? 2、因为是t检验,所以答案的critical value不一样吗?

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