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 80 64 67 39 22 28 54 79 71 29 26 40 88 62 36 22 76 45

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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

80

64

67

39

22

28

54

79

71

29

26

40

88

62

36

22

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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