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Grace Yu · 2022年10月03日

根据公式,样本容量变大了,反而置信区间变小了,有点想不通

NO.PZ2018062016000115

问题如下:

If analyst want to decrease the width of the confidence interval, which of the following statement should be selected.

选项:

A.

increase sample variance

B.

increase number of observations

C.

increase confidence level

解释:

B is correct, if number of observation become larger, sample variance is smaller, the width of confidence interval become smaller.

观察的次数越多,样本方差越小,置信区间的宽度越小。

不是应该样本容量越多,试错越多,信心程度越高吗

1 个答案
已采纳答案

星星_品职助教 · 2022年10月03日

同学你好,

信心程度对应的是置信度,置信度是研究人员人为设置的,不会受到n大小的影响。

样本容量对应的是估计的精确性,n增加会使得估计更为精确,对应的是更窄的置信区间。


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