Question

In: Statistics and Probability

The Examination results for selected samples of Quantitative methods students who took the course from three...

The Examination results for selected samples of Quantitative methods students who took the course from three different instructors (Lecturers) from three different satellite campuses are shown below;

Lecturer A

83

60

80

85

70

Lecturer B

90

55

84

91

85

Lecturer C

85

90

95

80

At α = 0.05, test to see if there is a significant difference among the averages of the three groups. Show the complete ANOVA table.

Expert Solution

The following table is obtained:

	Group 1	Group 2	Group 3
	83	90	85
	60	55	90
	80	84	90
	85	91	95
	70	85	80

Sum =	378	405	440
Average =	75.6	81	88
∑Xij²	29014	33687	38850
St. Dev. =	10.455	14.849	5.701
SS =	437.2	882	130
n =	5	5	5

Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that

there is a significant difference among the averages of the three groups at the α=0.05 significance level.

Using Excel we get output as

orchestra answered 1 year ago

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