5 10 NOTE: EX²=30775, ΣΥ=34560, ΣΧΥ=31336 a. Test at (a=0.05) if the mean grade of the first Statistics exam is above 50? -40 . 1 10 12 4 15 15 1.7 b.Give 95% CI for the mean grades of the second Statistics exam? c. Compute the correlation coefficient between the first and the second exam grades? d. Test at (s 17.1

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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not a graded question. A question that says: The first and second exam grades X,Yfor a sample of ten students in two Statistics exams were as follows:

Student
First
exam
grade X
Second
exam
grade Y
D=Y-X
1
38
23
2
68
28
-15
NOTE: EX2=30775,
-40
H
*
3
40
41
4
65
1
70
61
71
6
10
50
60
7
56
68
8
12
70
74
9
4
40
55
5
10
ΣΥ=34560,
ΣΧΥ=31336
a. Test at (a=0.05) if the mean grade of the first Statistics exam is above 50?
b.Give 95% CI for the mean grades of the second Statistics exam?
c. Compute the correlation coefficient between the first and the second exam grades?
d. Test at (a=0.05) if the mean grades of the first and second Statistics exams are differernt?
e. Give 95% CI for the difference in mean grades between the second and the first exams?
10
55
15
70
Mean
SD
54.3 11.97
15
55.0
19.18
1.7
17.1
Transcribed Image Text:Student First exam grade X Second exam grade Y D=Y-X 1 38 23 2 68 28 -15 NOTE: EX2=30775, -40 H * 3 40 41 4 65 1 70 61 71 6 10 50 60 7 56 68 8 12 70 74 9 4 40 55 5 10 ΣΥ=34560, ΣΧΥ=31336 a. Test at (a=0.05) if the mean grade of the first Statistics exam is above 50? b.Give 95% CI for the mean grades of the second Statistics exam? c. Compute the correlation coefficient between the first and the second exam grades? d. Test at (a=0.05) if the mean grades of the first and second Statistics exams are differernt? e. Give 95% CI for the difference in mean grades between the second and the first exams? 10 55 15 70 Mean SD 54.3 11.97 15 55.0 19.18 1.7 17.1
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