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Allez😃Sea · 2021年03月22日

如果是t分布

  1. CFA I
  2. Quantitative

NO.PZ2017092702000111

问题如下：

For a two-sided confidence interval, an increase in the degree of confidence will result in:

选项：

A.

a wider confidence interval.

B.

a narrower confidence interval.

C.

no change in the width of the confidence interval.

解释：

A is correct.

As the degree of confidence increases (e.g., from 95% to 99%), a given confidence interval will become wider. A confidence interval is a range for which one can assert with a given probability 1 – α, called the degree of confidence, that it will contain the parameter it is intended to estimate.

老师，如果是t分布的话，这题的confidence level是否会缩窄

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星星_品职助教 · 2021年03月22日

同学你好，

不管是t还是z分布，置信区间都会随着degree of confidence的上升而上升。因为 degree of confidence即confidence level增加了，例如从90%上升到95%，对应的critical value（或者叫reliability factor）就会上升，所以区间都会变宽。

附讲义公式供参考。

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