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chyje2007 · 2018年10月15日

问一道题:NO.PZ2015120604000178 [ CFA I ]

问题如下图:

选项:

A.

B.

C.

D.

解释:

这道题为什么不用(12.32-10)/5.4的值再计算概率呢?答案解释方法不是很明白

2 个答案

菲菲_品职助教 · 2018年10月16日

同学你好,这道题已知的是总体的均值和标准差,但我们要对样本进行估计。所以首先我们要运用中心极限定理, 且n大于30,所以可以推断样本服从正态分布,用的就是Z统计量。计算样本的z统计量的时候用的也是这个公式,你说的z值分母除以标准差是针对于总体而言的。因为抽样存在误差,所以计算样本的统计量时要考虑到这个误差,所以除以的是标准误。

菲菲_品职助教 · 2018年10月15日

同学你好,统计量的计算公式如下:

分母其实是一个标准误的概念。而题目给出的5.4%是总体的标准差,不能直接拿来使用。

chyje2007 · 2018年10月15日

不太明白为什么这道题不能用z检验,那么分母就不是除以标准误而直接就是标准差了呀

chyje2007 · 2018年10月15日

我有点搞晕了,想请教下,我们讲义里讲到标准正态分布时,后面的例题比如算某个数发生概率时是先转化成超准正态分布,分布除以的是标准查,而不是标准误,为什么这道题就不是呢

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