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小伟 · 2020年02月23日

问一道题: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.

需要通过查表找到这些标准差倍数对应的累计概率,能不能讲下如何通过查表找到对应的累计概率的

1 个答案

orange品职答疑助手 · 2020年02月24日

同学你好,会有一个标准正态分布分位数表,比如你想找95%分位数的,你就找到对应的0.90那一行,0.05那一列,所决定的数字,这就是95%对应的分位数

不过考试时不会让我们真的去查表,它以往都是给我们几个分位数去选择,比如说,我们要求N(-1),那题目就会给N(-1.2),N(-1.1),N(-1),N(-0.9)这四个数的值,我们只要知道是求N(-1)就可以了

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