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Cooljas · 2022年05月24日

但是另外两题 比如下方截图 也是求标准误，为啥就要除以根号下n呢？

  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



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1 个答案

品职答疑小助手雍 · 2022年05月25日

同学你好，这两道题完全是两个方向的，不能进行比较。

题号提问的这个题，给的是置信区间，是要用置信区间来反求标准误的。

你截图的题给的是标准差和样本量，是根据公式正着求标准误的。

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