题目
A college uses two assessments, X and Y, when interviewing applicants for research posts at the college. These assessments have been used for a large number of applicants this year.
The scores for a random sample of 9 applicants who took assessment X are as follows.
The scores for a random sample of 10 applicants who took assessment Y are as follows.
The interviewer believes that the population median score from assessment X is lower than the population median score from assessment Y.
Carry out a Wilcoxon rank-sum test, at the 1% significance level, to test whether the interviewer’s belief is supported by the data.
题目中文翻译
一所学院在面试研究职位申请者时使用两项评估 X 和 Y。今年，这两项评估已经用于大量申请者。
参加评估 X 的 9 名申请者的随机样本分数如下。
参加评估 Y 的 10 名申请者的随机样本分数如下。
面试官认为评估 X 的总体中位数分数低于评估 Y 的总体中位数分数。
在 1% 显著性水平下进行 Wilcoxon 秩和检验，检验数据是否支持面试官的看法。