题目
Problem
A researcher claims that older people take longer to react to a sudden loud noise than younger people. To investigate this, the researcher randomly selects 6 people over 50 years old and 8 people under 25 years old and records their reaction times, in milliseconds, to a sudden loud noise. The reaction times are as follows.
| Over 50 | 198 | 212 | 217 | 229 | 235 | 242 | ||
| Under 25 | 178 | 181 | 183 | 192 | 203 | 209 | 223 | 231 |
Carry out a Wilcoxon rank-sum test at the 5% significance level to test the researcher’s claim.
[8]
题目中文翻译
一位研究人员声称，老年人对突然出现的巨大噪声作出反应所需的时间比年轻人更长。为了调查这一点，研究人员随机选取 6 名 50 岁以上的人和 8 名 25 岁以下的人，并记录他们对突然出现的巨大噪声的反应时间，单位为毫秒。反应时间如下。
| 50 岁以上 | 198 | 212 | 217 | 229 | 235 | 242 | ||
| 25 岁以下 | 178 | 181 | 183 | 192 | 203 | 209 | 223 | 231 |
在 5% 显著性水平下进行 Wilcoxon 秩和检验，检验这位研究人员的声称。