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狂狷 · 2021年11月09日

求单尾假设

NO.PZ2018062016000132

问题如下:

Claire believes that the mean price of the commercial residential building is greater than $155,000. The population standard deviation is $25,000. A random sample of 36 commercial residential buildings in the area has a mean price of $159,750. Claire conduct the hypothesis test at a 1% level of significance. The value of the calculated test statistic is closet to:

选项:

A.

1.14.

B.

0.19.

C.

1.33.

解释:

A is correct. This is a one-tailed hypothesis since the alternative hypothesis only allows values greater than the hypothesized value. z=159750-155000/(25000/6)=1.14

求单尾假设significant level是1%还是0.5%
1 个答案

星星_品职助教 · 2021年11月09日

同学你好,

1)题干中已经给出了“Claire conduct the hypothesis test at a 1% level of significance”,所以significance level就是1%,不因单尾或是双尾检验而改变;

2)单尾检验意味着拒绝域只在一边,此时这一边的总面积就是1%。

3)无论是拒绝域面积还是significance level,都和本题要求的test statistic无关。求检验统计量不需要考虑significance level。

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NO.PZ2018062016000132 问题如下 Claire believes ththe mepriof the commerciresintibuilng is greater th$155,000. The population stanrviation is $25,000. A ranm sample of 36 commerciresintibuilngs in the area ha mepriof $159,750. Claire conthe hypothesis test a 1% level of significance. The value of the calculatetest statistic is closet to: A.1.14. B.0.19. C.1.33. A is correct. This is a one-tailehypothesis sinthe alternative hypothesis only allows values greater ththe hypothesizevalue. z=159750-155000/(25000/6)=1.14 这个25000不是总体样本方差嘛?population不是总体方差嘛?请老师解惑下。

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