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Sean711822 · 2024年05月29日

请问这题目是不是漏了条件

NO.PZ2020010304000049

问题如下:

Find the p-value for the following t-test statistics of the null hypothesis, H0:μ=μ0H_0: \mu = \mu_0.

a. Statistic: 1.45, Alternative: Two-sided

b. Statistic: 1.45, Alternative: One-sided upper

c. Statistic: 1.45, Alternative: One-sided lower

d. Statistic: -2.3, Alternative: One-sided upper

e. Statistic: 2.7, Alternative: Two-sided

选项:

解释:

a. In a two-sided test, the p-value is the area under the normal curve for values greater than 1.45 or less than -1.45. This is twice the area less than -1.45, or 2 * 0.074. = .148.

b. In a one-sided upper test, we need the area above 1.45. This is half the previous answer, or 0.074.

c. In a one-sided lower test, we need the area under the curve for values less than 1.45. This is just 1 - 0.074 = .926.

d. Here we need to probability under the normal curve for values above -2.3, which is 1 minus the area less than -2.3, or 1 - 0.01 = 0.99.

e. Because it is a two-sided alternative, we need that area for values larger than 2.7 or less than -2.7, which is twice the area less than -2.7. This value is 2 * .0034 = .0068.

老师好,没看懂答案里的数字从哪来的。看其他同学的提问,给的解答用Excel计算的。这题本身是不是漏了条件,或者请具体解释一下题目,考试时是否会出类似的题目?直接这么出题看着无法解答。

1 个答案

pzqa39 · 2024年05月30日

嗨,从没放弃的小努力你好:


不是漏了条件,但是这道题确实没有研究的必要,因为正常情况下会出现的题目是给p value去查表判断接受或者拒绝假设,这道题是反过来给了t值让我们去找p值,其实就是一个非常简单的查表

其他同学提问,给的解答是用excel计算出来的,是因为正常的t分布表根本不可能给得这么详细

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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