Two accounting professors decided to compare the variation of their grading procedures. To accomplish this, they each graded the same 10 exams with the following results: What are the degrees of freedom for the numerator of the F ratio?
A) 8
B) 9
C) 10
D) 18
E) 20

Question

Two accounting professors decided to compare the variation of their grading procedures. To accomplish this, they each graded the same 10 exams with the following results:  What are the degrees of freedom for the numerator of the F ratio?
A) 8 
B) 9 
C) 10 
D) 18 
E) 20

Quizplus · Accepted Answer

The formula for degrees of freedom for the numerator is k - 1, where k is the number of groups being compared. In this case, there are 2 groups (the two professors' grading procedures). Therefore, k - 1 = 2 - 1 = 1 degree of freedom for the numerator. However, since there are 10 total exams, there are 10 - 1 = 9 degrees of freedom for the denominator. Therefore, the answer is (B) 9.

Two Accounting Professors Decided to Compare the Variation of Their