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Olinaaaaa · 2024年02月24日

求confidence level的标准error是怎么求的啊

  1. FRM I
  2. Quantitative

NO.PZ2019040801000025

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

为什么平均数➕1.96标准error等于35 35在公式里指的是什么 为什么我听前两个视频 为什么说这个公式呢？

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1 个答案

pzqa27 · 2024年02月25日

嗨，从没放弃的小努力你好：


这个题用到的是下图中的这个公式，11到35是 confidence interval， 所以23 + 1.96sx=35。

----------------------------------------------
虽然现在很辛苦，但努力过的感觉真的很好，加油！

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