Three alumni clubs for a university have members who contribute to the university athletic program. The amount of contribution (in dollars) for six contributors randomly selected from each city to test the hypothesis that the mean contribution is the same among alumni clubs, is given below:

An Arbour Dearborn Flint

70 60 30
25 35 65
35 55 80
40 58 50
20 75 25
15 60 45

At 0.05 level of significance, test whether the mean contributions are different among alumni clubs. In so doing,

(a). List your test hypotheses.

(b). Calculate the test statistic (you can use an ANOVA table for calculating purposes).

(c). List degrees of freedom, calculate the p-value of the test-statistic and draw conclusion.