题目
A teacher at a large college gave a mathematical puzzle to all the students. The median time taken by a random sample of 24 students to complete the puzzle was 18.0 minutes. The students were then given practice in solving puzzles. Two weeks later, the students were given another mathematical puzzle of the same type as the first. The times, in minutes, taken by the random sample of 24 students to complete this puzzle are as follows.
The teacher claims that the practice has not made any difference to the average time taken to complete a puzzle of this type.
Carry out a Wilcoxon signed-rank test, at the 10% significance level, to test whether there is sufficient evidence to reject the teacher’s claim.
题目中文翻译
一所大型学院的一名教师给所有学生出了一道数学谜题。随机抽取的 24 名学生完成该谜题所需时间的中位数为 18.0 分钟。随后，学生接受了解谜训练。两周后，学生又得到一道与第一道同类型的数学谜题。该随机样本中的 24 名学生完成这道谜题所需时间（单位：分钟）如下。
这名教师声称，训练并没有使完成此类谜题所需的平均时间发生任何变化。
在 10% 显著性水平下进行 Wilcoxon 符号秩检验，检验是否有足够证据拒绝这名教师的声称。