Three Universities Administer the Same Comprehensive Examination to the Recipients

Essay

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 from each university. $$\begin{array} { c c c } \text { University A } & \text { University B } & \text { University C } \\89 & 60 & 81 \\95 & 95 & 70 \\75 & 89 & 90 \\92 & 80 & 78 \\99 & 66 & \\77 & &\end{array}$$ At α = .01, test to see if there is any significant difference in the average scores of the students from the three universities. (Note that the sample sizes are not equal.)
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