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老么 · 2023年11月07日

请问可以辨析一下B和C吗?

NO.PZ2023061301000019

问题如下:

A pooled estimator is used when testing a hypothesis concerning the:

选项:

A.

equality of the variances of two normally distributed populations.

B.

difference between the means of two approximately normally distributed

populations with unknown but assumed equal variances.

C.

difference between the means of two at least approximately normally distributed

populations with unknown and assumed unequal variances.

解释:

B is correct. The assumption that the variances are equal allows for the combining

of both samples to obtain a pooled estimate of the common variance.

不太懂B和C的英文翻译

1 个答案

星星_品职助教 · 2023年11月07日

同学你好,

本题问在哪个假设检验里会用到pooled estimator。当检验两个总体均值是否相等,且两个总体均服从正态分布,两个总体的方差均未知但假设两者相等时。此时会使用到pooled estimator。

以上是B选项的理解。C选项的区别就在于不假设这两个总体的方差相等,其余和B选项都是一样的。

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