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March18龚献 · 2022年02月07日

25000/6这步，6是哪个条件出来的？

  1. CFA I
  2. Quantitative

NO.PZ2018062016000132

问题如下：

Claire believes that the mean price of the commercial residential building is greater than $155,000. The population standard deviation is $25,000. A random sample of 36 commercial residential buildings in the area has a mean price of $159,750. Claire conduct the hypothesis test at a 1% level of significance. The value of the calculated test statistic is closet to:

选项：

A.

1.14.

B.

0.19.

C.

1.33.

解释：

A is correct. This is a one-tailed hypothesis since the alternative hypothesis only allows values greater than the hypothesized value. z=159750-155000/(25000/6)=1.14

25000/6这步，6是哪个条件出来的？
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1 个答案

星星_品职助教 · 2022年02月07日

同学你好，

根据中心极限定理，样本均值的标准差（标准误）为总体标准差σ除以根号n。

由此根据“The population standard deviation is $25,000. A random sample of 36”，得到样本均值（ the mean price of the commercial residential building）的标准差即标准误=25,000 / 根号36=25,000 / 6

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