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nurwinter · 2021年05月26日

大样本下,如果方差未知,检验均值既可以用T检验,也可以用Z检验。 请问课件哪里哪页

NO.PZ2017092702000122

问题如下:

An analyst is examining a large sample with an unknown population variance. To test the hypothesis that the historical average return on an index is less than or equal to 6%, which of the following is the most appropriate test?

选项:

A.

One-tailed z-test

B.

Two-tailed z-test

C.

One-tailed F-test

解释:

A is correct.

If the population sampled has unknown variance and the sample is large, a z-test may be used. Hypotheses involving "greater than" or "less than" postulations are one-sided (one-tailed). In this situation, the null and alternative hypotheses are stated as H0: μ ≤ 6% and Ha: μ > 6%, respectively. A one-tailed t-test is also acceptable in this case.

大样本下,如果方差未知,检验均值既可以用T检验,也可以用Z检验。 请问课件哪里哪页

1 个答案

星星_品职助教 · 2021年05月26日

同学你好,

直接记忆规律吧。

对于检验总体均值而言,(总体)方差已知用z,(总体)方差未知用t,非正态(总体)小样本不可估计。

课件也附上了,但直接看上面中文规律就行,也不用再回去学了

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NO.PZ2017092702000122问题如下 analyst is examining a large sample with unknown population variance. Whiof the following is the most appropriate test to test the hypothesis ththe historicaverage return on inx is less thor equto 6%? A.One-tailez-test B.Two-tailez-test C.One-taileF-test A is correct.If the population samplehunknown variananthe sample is large, a z-test muse Hypotheses involving \"greater than\" or \"less than\" postulations are one-si(one-taile. In this situation, the null analternative hypotheses are stateH0: μ ≤ 6% anHμ 6%, respectively. A one-tailet-test is also acceptable in this case, anthe rejection region is on the right si of the stribution.检验历史的平均收益是否小于等于6%,这样的假设就是单尾的一个概念且对于检验总体均值而言,(总体)方差已知用z,(总体)方差未知用t,非正态(总体)小样本不可估计。所以选择单尾 z-test 根据口诀总体方差未知用t,这题目不就说总体方差未知吗?怎么又用z?

2023-08-31 10:15 1 · 回答

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2022-03-15 20:17 1 · 回答

原假设不是我们想要拒绝的吗?题干中说想要检验AR是不是小于等于6%,那Ho应该是AR大于6%,考虑到等号要放在Ho里,那Ho应该是大于等于6%,Ha是小于6%?求解答,感谢!

2019-10-27 03:11 1 · 回答

您好 请问A是比C好嘛?还是说C是有问题的?

2019-02-24 08:42 2 · 回答