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cycinter · 2023年05月29日

题目standard error，什么时候用s/根号n那个公式呀？

  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

我算出6.12之后，以为还要除以根号200.这个sigma和s/根号n那个标准误是什么区别呀

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1 个答案

pzqa27 · 2023年05月30日

嗨，努力学习的PZer你好：


s/根号n这个整体叫标准误，现在已知23±1.96标准误=35，直接反推标准误即可，s/根号n分子上面的那个是标准差

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