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yunli · 2021年12月27日

请问这题没有给sample size或自由度 怎么查表呀

  1. FRM I
  2. Quantitative

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

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.

请问这题没有给sample size 或自由度 怎么查表呀
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品职答疑小助手雍 · 2021年12月27日

同学你好，这题说的只是t统计量和p value针对的是检验后的正态分布，不是针对t 分布的。

不过考试不会真的直接出查表题的，都是带着一定情景来描述完之后查表找概率或者找对应分位点的。

ssss · 2021年12月27日

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yunli · 2021年12月28日

哦懂了 谢谢

yunli · 2021年12月28日

可是为什么t- test用的是standard normal？一般不是用t分布吗？

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