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yanan · 2023年10月10日

这里单尾和双尾应该怎么判断,总是容易错

NO.PZ2022062760000017

问题如下:

Using the returns of the prior 12 months, an analyst estimates the mean monthly return of stock XYZ to be -0.75% with a standard error of 2.70%.


Using the t-table above, which of the following is the 95% confidence interval for the mean return?

选项:

A.

-6.69% and 5.19%

B.

-6.63% and 5.15%

C.

-5.60% and 4.10%

D.

-5.56% and 4.06%

解释:

中文解析:

区间=mean+z值*σ

mean=-0.75%

σ=2.7%

z值的查找:自由度=12-1=11,双尾5%,单尾2.5%

z值=2.201

区间=-0.75% - 2.201*2.70% and -0.75% + 2.201*2.70%

The confidence interval is equal to the mean monthly return plus or minus the t-statistic times the standard error. To get the proper t-statistic, the 0.025 column must be used since this is a two-tailed interval. Since the mean return is being estimated using the sample observations, the appropriate degrees of freedom to use is equal to the number of sample observations minus 1, which is 11. Therefore, the proper statistic to use from the t-distribution is 2.201. The 95% confidence interval is between -0.75% - 2.201*2.70% and -0.75% + 2.201*2.70%.

95%的置信区间,给的是T检验的单尾表,为啥不直接用5%的呢

1 个答案

品职答疑小助手雍 · 2023年10月12日

同学你好,题目表头上写了给的是单尾的表格,然后让计算的是interval,interval就是双尾的了,所以要在单尾表格里找2.5%的,才能在两端凑到5%,获得95%的interval。

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2024-04-07 16:25 1 · 回答

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