Ten students sat for a Mathematics examination which comprises two papers. Their scores out of 100 are given in the table below: 8. 10 Student Paper 1 Paper 2 1 2 7 44 55 3 4. 5 6. 31 43 50 52 55 27 62 92 40 60 35 58 43 68 59 25 50 18 (a) Identify a 95% confidence interval for the mean of the differences between the scores for Paper 1 and Paper 2. At the 5% significance level, test whether the mean scores of Paper 1 and Paper 2 are different. (b)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Ten students sat for a Mathematics examination which comprises two papers. Their
scores out of 100 are given in the table below:
Student
Paper 1
Paper 2
2.
3
4
6.
9.
10
31
43
50
52
62
40
44
60
55
27
18
35
58
43
68
92
59
25
55
50
(a)
Identify a 95% confidence interval for the mean of the differences between the
scores for Paper 1 and Paper 2.
At the 5% significance level, test whether the mean scores of Paper 1 and
Paper 2 are different.
(b)
3.
Transcribed Image Text:Ten students sat for a Mathematics examination which comprises two papers. Their scores out of 100 are given in the table below: Student Paper 1 Paper 2 2. 3 4 6. 9. 10 31 43 50 52 62 40 44 60 55 27 18 35 58 43 68 92 59 25 55 50 (a) Identify a 95% confidence interval for the mean of the differences between the scores for Paper 1 and Paper 2. At the 5% significance level, test whether the mean scores of Paper 1 and Paper 2 are different. (b) 3.
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