In a study of starting salaries for assistant professors, five male assistant professors at each of three types of doctoral-granting institutions were randomly polled and their starting salaries were recorded under the condition of anonymity. The results of the survey (measured in $1000) are given in the following table.2
| Public Universities |
Private-Independent |
Church-Affiliated |
| 49.3 |
81.8 |
66.9 |
| 49.9 |
71.2 |
57.3 |
| 48.5 |
62.9 |
57.7 |
| 68.5 |
69 |
46.2 |
| 54 |
69 |
52.2 |
a What type of experimental design was utilized when the data were collected?
b Is there sufficient evidence to indicate a difference in the average starting salaries of assistant professors at the three types of doctoral-granting institutions? Use the table in the text to bound the p-value.
c Applet Exercise Determine the exact p-value by using the applet F-Ratio Probabilities and Quantiles.