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eaglexps · 2022年08月31日

你好

NO.PZ2018062016000137

问题如下:

Assume that the variance is unknown, which of the following statements on a hypothesis tests of the population mean is most accurate?

选项:

A.

If the sample is small, it's a t-test.

B.

If the sample is large, it's a t-test.

C.

If the sample is small, it's a z-test.

解释:

B is correct. If the population sampled has unknown variance, the sample is large, or the sample is small but the population sampled is normally distrubuted, or approximately normally distributed, then the test statistic for hypothesis tests concerning a single population mean.

老师,我想请问下这道题A和B如何bianbie1正确的答案,因为方差未知可以排除C,但是A,B感觉都没有明显的问题,反而是A更说得过去一点。谢谢

1 个答案

星星_品职助教 · 2022年08月31日

同学你好,

小样本只有在特定的条件下才能估计,很多时候估计不了。所以可行性最大的是大样本+t检验。