Question: The CEO at Au & Associates would like to think head size correlates with intelligence. He took head breadth measurements of managers at three major departments. There are 7 managers at each department. The head breadths are tabulated as follow:

a. (10 points) Apply one-way ANOVA to determine for the above data set, the SS(treatment), MS(treatment), SS(error), and MS(error). Again, do not depend on program software to obtain your answers. You cannot rely on program software packages for your answers, and you definitely have to show your steps with appropriate tables.

b. (4 points) Determine the F-statistic, and the corresponding critical value of F.

c. (2 points) Is there sufficient evidence to claim that there is difference in intelligence level, ooops, head size, among the three major departments?