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摇一摇 · 2023年08月02日

A为什么不对呢

NO.PZ2022123001000096

问题如下:

The confidence interval is most likely to be:

选项:

A.wider as the point estimate increases B.narrower as the reliability factor decreases C.wider as the sample size increases

解释:

A confidence interval for a parameter = Point estimate ± Reliability factor × Standard error. For example, the reliability factors for confidence intervals based on the standard normal distribution are 1.65 for 90% confidence intervals and 1.96 for 95% confidence intervals. For a given pointestimate and standard error, the confidence interval will be narrower with a lower reliability factor.

按照这个公式:A confidence interval for a parameter = Point estimate ± Reliability factor × Standard error

A为什么不对呢

1 个答案

星星_品职助教 · 2023年08月03日

同学你好,

由公式可知,point estimate是置信区间的中心点。以此为中心,左右各有Reliability factor × Standard error这么多的宽度。

所以point estimate无论上升还是下降,只会影响置信区间的位置,不会影响该区间的宽度。