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wyrw · 2024年08月04日

计算标准误是使用n还是n-1

  1. CFA I
  2. Quantitative

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.


本题总体方差未知使用t检验，自由度是n-1，那计算标准误是使用n还是n-1

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品职助教_七七 · 2024年08月04日

嗨，努力学习的PZer你好：


本题的估计量是“mean price”。所以标准误为样本均值的标准误，公式为 样本标准差s /√n 。此时自由度内含在s里，不体现在这里的√n上。

由于这类题目的s基本都是直接给出数值的，所以不用考虑自由度的问题。

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努力的时光都是限量版，加油！

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