A professor of statistics in Simon Fraser University wants to determine whether the average starting salaries among graduates of the nine universities in British Columbia are equal. A sample of 25 recent graduates from each university was randomly taken. The appropriate critical value for the ANOVA test is obtained from the F-distribution. What are the respective numbers of degrees of freedom for this distribution?
A) 8 and 216
B) 9 and 25
C) 25 and 15
D) 360 and 14

Question

Quizplus · Accepted Answer

The degrees of freedom for the numerator is the number of groups minus one (9 - 1 = 8), and for the denominator, it is the total number of observations minus the number of groups (225 - 9 = 216).

A Professor of Statistics in Simon Fraser University Wants to Determine