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摇一摇 · 2023年08月06日

这道题可以用计算器按吗?

NO.PZ2022123001000122

问题如下:

An analyst collects the following data related to paired observations for Sample A and Sample B. Assume that both samples are drawn from normally distributed populations and that the population variances are not known.


The t-statistic to test the hypothesis that the mean difference is equal to zero is closest to:

选项:

A.

0.23

B.

0.27

C.

0.52

解释:


这道题可以用计算器按吗?

2 个答案
已采纳答案

星星_品职助教 · 2023年08月08日

同学你好,

可以,先手动算出Sample A 和 Sample B的差,然后把这列差输入计算器即可。

1)将红框中的差值逐个输入计算器的2nd+7;

2)2nd+8得到均值 1.4, 和样本标准差 6.0663

3)求得均值的标准误为 样本标准差除以根号n= 6.0663/ 根号5 =2.7129

4)代入下方公式

由于本题是检验是否为0,所以公式简化为:

代入刚刚求得的均值和标准误,得到结果:1.4 / 2.7129=0.5160

Lily0923 · 2023年08月19日

为什么求标准误的时候 分母是÷n 而不是n-1呢?为什么是除以5而不是4?

星星_品职助教 · 2023年08月20日

@Lily0923 标准误公式的分母为根号n,不是n-1.

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