Question 1 The students in 3 sections of a statistics class were each taught by 3 different teaching methods. At the end of the course a common exam was administered. A random sample of 6 students was taken from each section. Their marks on the exam (out of 100) are displayed in the table below. Section 3 56 68 72 56 78 71 58 82 81 67 58 85 68 61 91 71 55 66 Is there sufficient evidence to conclude at the 5 percent level that there exist significant differences in the average grades for the 3 teaching methods? Carefully discuss.

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Question 1
The students in 3 sections of a statistics class were each taught by 3 different teaching
methods. At the end of the course a common exam was administered. A random sample of
6 students was taken from each section. Their marks on the exam (out of 100) are
displayed in the table below.
Section
1
2
3
72
56
68
56
78
71
81
58
82
67
58
85
68
61
91
71
55
66
Is there sufficient evidence to conclude at the 5 percent level that there exist significant
differences in the average grades for the 3 teaching methods? Carefully discuss.
Transcribed Image Text:Question 1 The students in 3 sections of a statistics class were each taught by 3 different teaching methods. At the end of the course a common exam was administered. A random sample of 6 students was taken from each section. Their marks on the exam (out of 100) are displayed in the table below. Section 1 2 3 72 56 68 56 78 71 81 58 82 67 58 85 68 61 91 71 55 66 Is there sufficient evidence to conclude at the 5 percent level that there exist significant differences in the average grades for the 3 teaching methods? Carefully discuss.
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