An analysis is concerned about the level of knowledge possessed by students regarding Caribbean History. Students completed a prerequisite history course before entering the University. The table below shows the students’ results on the prerequisite exam categorized by their major.
Education
Economics
Statistics
Chemistry
57
72
42
80
85
49
52
37
62
63
31
87
58
68
64
67
39
22
28
54
79
71
29
26
40
88
36
76
45
Using the 10% significance level, test the hypothesis that the mean grade on the prerequisite history exam is the same across majors.
(a) Define the null and alternative hypothesis for the ANOVA model.
(b) Complete the relevant ANOVA table.
(c) What is your conclusion for the ANOVA results?
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