Construct an analysis-of-variance table

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Three classes in elementary statistics are taught by three different persons: a regular faculty member, a graduate teaching assistant, and an adjunct from outside the university. At the end of the semester, each student is given a standardized test. Five students are randomly picked from each of these classes, and their scores are as shown in Table.

Table

Faculty

Teaching assistant

Adjunct

93

88

86

61

90

56

87

76

73

75

82

90

92

58

47

(a) Construct an analysis-of-variance table and interpret your results.

(b) Test at the 0.05 level whether there is a difference between the mean scores for the three persons teaching. Assume that the conditions of completely randomized design are met.

Reference no: EM13966104

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