3B The handout below gives Excel output that properly compar

3B) The handout below gives Excel output that properly compares mean Final Exam performance for the Accounting, Finance, Management and Marketing majors in this class. Can we conclude that any differences exist in the mean Final Exam performance for students in any pairs of these majors? (Write out a complete hypothesis test using a 0.05 significance level.)

Handout

Accounting Finance Management Marketing

89 91 59 45

76 84 77 73

63 83 68 81

76 85 89 65

63 69 98 47

97 55 67

92 96 82

71 88 83

54 49 55

86 71

86 62

94

SUMMARY

Groups count Sum Average Variance

Accounting 5 367 73.4 118.3

Finance 12 992 82.6667 151.333

Management 11 812 73.8181 288.9636

Marketing 9 598 66.4444 217.7778

ANOVA

Source of Variation SS df MS F P-Value F-crit

Between Groups 1391.301 3 463.767 2.2607 0.099674 2.891564

Withing Groups 6769.7252 33 205.143

Total 8161.027 36

Solution

look at p-value of F, which is 0.099674 which is not less than significance level of 0.05, thus we cannot reject null hypothesis of no difference. There is insufficient evidence to conclude that any difference exists in the mean Final Exam performance for students in any pairs of these majors