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kkbis · 2020年02月07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

请问平均数为0.5*（11+35）=23 是根据哪个公式出来的呢？

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1 个答案

品职答疑小助手雍 · 2020年02月07日

同学你好，正态分布的检验里置信区间中间的数一定就是平均数，所以在11-35的范围内，中间的数就是相加除以2=23。

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