A random sample of eleven students sat a Chemistry examination consisting of one theory paper and one practical paper. Their marks out of 100 are given in the table below. Theory mark 30 49 38 22 68 |-30 21 42 50 63 43 36 54 42 26 Practical mark 52 58 42 67 94 34 55 48 17 Difference -22 -16 7 -17 -31 -1 -6 Assuming differences in pairs to be normal distributed, test, at the 5% level of significance, the hypothesis of no difference in mean mark on the two papers.

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A random sample of eleven students sat a Chemistry examination consisting of one theory paper
and one practical paper. Their marks out of 100 are given in the table below.
Theory mark
30
42
49
50
63
38
43
36
54
42
26
Practical mark
52
58
42
67
94
68
22
34
55
48
17
Difference
-22
-16
7
-17
-31
-30 21
2
-1
-6
9
Assuming differences in pairs to be normal distributed, test, at the 5% level of significance, the
hypothesis of no difference in mean mark on the two papers.
Transcribed Image Text:A random sample of eleven students sat a Chemistry examination consisting of one theory paper and one practical paper. Their marks out of 100 are given in the table below. Theory mark 30 42 49 50 63 38 43 36 54 42 26 Practical mark 52 58 42 67 94 68 22 34 55 48 17 Difference -22 -16 7 -17 -31 -30 21 2 -1 -6 9 Assuming differences in pairs to be normal distributed, test, at the 5% level of significance, the hypothesis of no difference in mean mark on the two papers.
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