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Baby climb · 2019年07月09日

问一道题:问一道题:NO.PZ2019040801000025 [ FRM I ]

题中的based on a z-statistic,不是查Z分布表的意思,对吗?

查Z分布表的1.96是97.5,而且Z分布表查出来的是不对称的,所以这个怎么理解呢?还是有两种Z分布表呢?在不考虑老师让记住这个数的情况下,百分之95的1.96是查表得出来的,还是通过查表算出来的呢?

问题如下图:

选项:

A.

B.

C.

D.

解释:

1 个答案

品职答疑小助手雍 · 2019年07月09日

同学你好,因为这题问的是区间,所以是双尾两边各是2.5%,这样在区间内的概率才是95%(两边合计5%)。这时候z分布表双尾的95%对应的其实就是单尾的97.5%,也就是1.96。

查表方式:Z分布表0对应的位置是0.5的意思就是标准正态分布均值(也就是0的位置)对应的左侧的累计概率是50%。同理,0往右1.96个标准差的位置对应左侧的累计概率就是97.5%。

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