Question

Twenty-five students from Harry High School were accepted at
Magic University. Of those students, 10 were offered athletic
scholarships and 15 were not. Mrs. Hermione believes Magic
University may be accepting people with lower ACT scores if they
are athletes. The newly accepted student ACT scores are shown
here.

Athletic scholarship: 16, 24, 20, 25, 24, 23, 21, 22, 20, 20

No athletic scholarship: 23, 25, 26, 30, 32, 26, 28, 29, 26, 27,
29, 27, 22, 24, 25

**Part A:** Do these data provide convincing evidence
of a difference in ACT scores between athletes and nonathletes?
Carry out an appropriate test at the α = 0.10 significance level.
(5 points)

**Part B:** Create and interpret a 90% confidence
interval for the difference in ACT scores between athletes and
nonathletes. (5 points)

Answer #1

Fifteen students from Poppy High School were accepted at Branch
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scholarships and nine were not. Mrs. Bergen believes Branch
University may be accepting students with lower ACT scores if they
have an academic scholarship. The newly accepted student ACT scores
are shown here. Academic scholarship: 25, 24, 23, 21, 22, 20 No
academic scholarship: 23, 25, 30, 32, 29, 26, 27, 29, 27
Part A: Do these data provide convincing evidence of...

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repeated measurements
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December
March
June
1
17
23
21
24
2
25
21
21...

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AM -vs- PM Test Scores: In my PM section of
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index
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
score
43
48
50
52
55
60
61
62
64
65
66
67
68
71
75
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16
17
18
19
20
21
22...

Taste test for difference betwen fresh and frozen meat under
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Variables
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STUDENT
TRIMESTER 1
TRIMESTER 2
1
69
78
2
76
79
3
70
81
4
71
5
75
57
6
61
55
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67
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