(a) State the null and alternative hypotheses and use sign test to find a P value relevant to the question of whether the course is effective. (b) Use the sign-test procedure at level nearest 0.90 to find a two-sided confidence interval estimate of the median difference in scores (after-before). Give the exact test.

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7. In order to test the effectiveness of a new math course program imposed by Campus Director,
the Head of Academic Programs selects ten math students at random to take the course. The
data show the results of examination before and after the course.
Student
1
2
3
4
5
6
7
8
9
10
Before Exam
89
82
81
98
97
85
90
84
75
80
After Exam
97
72
80
99
93
90
89
87
85
84
(a) State the null and alternative hypotheses and use sign test to find a
P value relevant to the question of whether the course is effective.
(b) Use the sign-test procedure at level nearest 0.90 to find a two-sided
confidence interval estimate of the median difference in scores
(after-before). Give the exact test.
Transcribed Image Text:7. In order to test the effectiveness of a new math course program imposed by Campus Director, the Head of Academic Programs selects ten math students at random to take the course. The data show the results of examination before and after the course. Student 1 2 3 4 5 6 7 8 9 10 Before Exam 89 82 81 98 97 85 90 84 75 80 After Exam 97 72 80 99 93 90 89 87 85 84 (a) State the null and alternative hypotheses and use sign test to find a P value relevant to the question of whether the course is effective. (b) Use the sign-test procedure at level nearest 0.90 to find a two-sided confidence interval estimate of the median difference in scores (after-before). Give the exact test.
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