9. 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. a. State the null and alternative hypotheses.
b. Compute the sum of squares between treatments.
c. Compute the mean square between treatments.
d. Compute the sum of squares due to error.
e. Compute the mean square due to error.
f. Set up the ANOVA table for this problem.
g. At α = 0.01, 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.)