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西红柿面 · 2023年04月18日

所以这道题如果是单尾的话就应该判断T分布的左边的阴影面积吗?

NO.PZ2015120604000135

问题如下:

Ida Lee and his team collect a lot of analysis of statistical data about the car market. According to the data, they come to the conclusion that the mean price of SUV is more than $46,435 in his country. Then they randomly select 64 SUVs whose mean price is $46,470. Assume the standard deviation of the population is 1370. Ida Lee conducts a hypothesis test to check their conclusion. Which of the following test is least appropriate ?

选项:

A.

One-tailed test.

B.

Two-tailed test.

C.

One-sided test.

解释:

B is correct.

The null hypothesis is: H0: μ≤ $46,435, then Hα: μ>$46,435, which indicates it is a one-tailed test, also called one-sided test.

题干问which is least appropriate?所以选B



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星星_品职助教 · 2023年04月18日

同学你好,

根据“相信的要放备择假设”原则,可写出本题的H0: μ≤ $46,435, 对应Ha: μ>$46,435。

根据Ha可知拒绝域在右尾。

所以应该比较的是计算出来的t-statistic和右侧正值的critical value。

以5% significance level为例,

t-statistic=(46760-46435)/(1370/√64)=1.8978。右侧critical value查表得到+1.669。由于1.669<1.8978,所以拒绝原假设

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这题没明白啊,为什么不可以假设μ0=46370,μa≠46470

2020-09-03 22:14 2 · 回答

如何看出是单尾还是双尾检验?

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