Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students examined by each university. Note that the sample sizes are not equal.
University A
University B
University C
89
60
82
95
95
70
75
89
90
92
80
79
99
66
90
?
a.Compute the overall mean 
.b.At ? = .01, test to see if there is any significant difference in the average scores of all the students who took the exam from the three universities. Use both the critical value and p-value approaches.
What will be an ideal response?
a. 83.4b.
| Source of Variation | SS | df | MS | F | p-value | F critical |
| Between Groups | 446.85 | 2 | 223.425 | 1.88 | 0.194 | 6.93 |
| Within Groups | 1422.75 | 12 | 118.5625 | |||
| Total | 1869.6 | 14 |
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