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Amber · 2023年01月01日

1、基础课例题中(PPT第228页)我记得有提到说样本量>30时也可以用z分布查表,想问下考试的时候时是先按照课上说的三条原则(方差已知用z;方差未知用t;正态小样本不可估计)看方差已知未知,还是说看样本量有无大于30来决定用z还是t分布?(本题我按照z分布算也不影响结果但是想知道一下结论) 2. 虽然和本题无关但是能麻烦老师解释一下怎么区分Sx和Sx(ba) 在题目里怎么区分理解吗,谢谢

NO.PZ2015120604000137

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 $46,760. Assuming the standard deviation of the sample is 1370. Ida Lee conducts a hypothesis test to check their conclusion. At which significant level should Ida Lee reject the null hypothesis?

选项:

A.

0.5%.

B.

5%.

C.

1%.

解释:

B is correct.

If the significant level is 5%, the critical value=1.669<1.8978, Ida Lee should reject the null.

If the significant level is 0.5%, the critical value=2.656>1.8978, Ida Lee will fail to reject the null.

If the significant level is 1%, the critical value=2.387>1.8978, Ida Lee will fail to reject the null.


1、基础课例题中(PPT第228页)我记得有提到说样本量>30时也可以用z分布查表,想问下考试的时候是先按照课上说的三条原则(方差已知用z;方差未知用t;正态小样本不可估计)看方差已知未知,还是说看样本量有无大于30来决定用z还是t分布?(本题我按照z分布算也不影响结果但是想知道一下结论)

2. 虽然和本题无关但是能麻烦老师解释一下怎么区分Sx和Sx(ba) 在题目里怎么区分理解吗,谢谢

1 个答案

星星_品职助教 · 2023年01月02日

同学你好,

1)总体方差未知时,如题目无其他提示,优先使用t分布;

2)sx是样本自身的标准差,sx bar是样本均值的标准差。做题时要看主体是谁,然后选择对应的标准差。在置信区间和假设检验的题目中,基本都是使用sx bar。

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