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ShellM · 2020年06月22日

问一道题：NO.PZ2019040801000025

  1. FRM I
  2. Quantitative

问题如下：

Assuming the height of a tree in a forest follows a normal distribution, there are more than 10,000 trees. The sample size of test is 200, the 95% confidence interval of the sample mean of the height is 11 to 35 meters based on a z-statistic, the standard error of mean height is closest to:

选项：

A.

1.96.

B.

3.58.

C.

6.12.

D.

10.50.

解释：

C is correct.

考点：The central limit theorem (CLT)

解析：95%的置信区间是11到 35，z值是1.96.

平均数为0.5*（11+35）=23.所以置信区间是23 ± 1.96sx, sx是标准误。23+1.96sx等于35，sx等于6.12米

23+1.96sx等于35，s等于6.12米

请问35是怎么算出来的？

算sx时候n是200还是10000，怎么算都不对?

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已采纳答案

袁园_品职助教 · 2020年06月23日

同学你好！

35是题目中告诉你的条件

最后不用除的，直接算出来的6.12就是标准误

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