Three universities in your state decided to administer the same comprehensive examination to the recipients of MBA degrees from the three institutions. From each institution, MBA recipients were randomly selected and were given the test. The following table shows the scores of the students from each university.


Northern University

Central University

Southern University


75

85

80


80

89

81


84

86

84


85

88

79


81

83




85





Sample Mean

81.67

86.20

81.00

Sample Variance

15.07

5.70

4.67

At α = .01, test to see if there is any significant difference in the average scores of the students from the three universities. The overall mean is 83.

Calculate MSTR