题目
Problem
A large number of students are taking a Physics course. They are assessed by a practical examination and a written examination. The marks out of 100 obtained by a random sample of 15 students in each of the examinations are as follows.
| Student | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Practical examination | 66 | 63 | 24 | 52 | 59 | 76 | 88 | 51 | 48 | 36 | 91 | 72 | 68 | 67 | 60 |
| Written examination | 63 | 57 | 39 | 50 | 47 | 71 | 87 | 65 | 56 | 39 | 78 | 70 | 61 | 62 | 70 |
Use a sign test, at the 10% significance level, to test whether, on average, the practical examination marks are higher than the written examination marks.
[5]
题目中文翻译
大量学生正在学习一门物理课程。他们通过一次实践考试和一次笔试进行评估。从两项考试中各随机抽取 15 名学生，他们获得的百分制分数如下。
| 学生 | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 实践考试 | 66 | 63 | 24 | 52 | 59 | 76 | 88 | 51 | 48 | 36 | 91 | 72 | 68 | 67 | 60 |
| 笔试 | 63 | 57 | 39 | 50 | 47 | 71 | 87 | 65 | 56 | 39 | 78 | 70 | 61 | 62 | 70 |
在 10% 显著性水平下，使用符号检验检验实践考试分数平均而言是否高于笔试分数。