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wenxing · 2018年10月19日

问一道题:NO.PZ2015120604000125 [ CFA I ]

这道题如何求解呢???问题如下图:

选项:

A.

B.

C.

解释:

1 个答案

菲菲_品职助教 · 2018年10月20日

同学你好,这道题目让我们计算标准误。即下图中红框的部分。

根据区间的公式:

已知样本均值为32.5,Zα/2=1.96(因为题目给定置信区间的置信度为95%),就可以求得标准误了。

wenxing · 2018年10月21日

请问这道题为什么没有除以根号n呢?公式是有的

菲菲_品职助教 · 2018年10月21日

因为这道题目让我们求的是标准误哦,我们通过区间公式算出来的就是均值的标准差,也就是标准误,而不是总体或者样本的标准差。

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NO.PZ2015120604000125问题如下 The population is 6000 programmer whiis supposeto normally stribute A sample with 100 size is awn from the population. Baseon z-statisti95% confinintervof sample meof annusalary is 32.5 (in thousan) llars ranges from 22 (in thousan) llars to 43 (in thousan) llars .Calculate the stanrerror of meannusalary: A.1.96.B.3.99.C.5.36. C is correct.the 95% level of significance, the criticvalue is ±1.96.So the confinintervis 32.5±1.96 σ x ¯ , From the equation t 32.5 + 1.96 stanrerror = 43 or 32.5 - 1.96 stanrerror x ¯ = 22, we get σ x ¯ =5.36.=5.3571. 根据题干的sample mean=32.5,基于z-statistics的95%的置信区间(得到关键值±1.96),和置信区间的公式,可以得到 32.5 + 1.96 stanrerror = 43 或 32.5 - 1.96 stanrerror = 22。得到 stanrerror=5.3571 我可能公式有点搞混了,请问置信区间的计算什么时候使用 平均值+z×标准差,什么时候使用平均值+z×标准误

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