To compare the cost of three shipping methods,a random sample of four shipments is taken for each of three firms.The cost per shipment is shown below. In a one-factor ANOVA,the degrees of freedom for the within-groups sum of squares will be
A)11
B)3
C)9

Question

To compare the cost of three shipping methods,a random sample of four shipments is taken for each of three firms.The cost per shipment is shown below.  In a one-factor ANOVA,the degrees of freedom for the within-groups sum of squares will be
A)11 
B)3 
C)9

Quizplus · Accepted Answer

The degrees of freedom for the within-groups sum of squares in a one-factor ANOVA are calculated as (n-1) where n is the number of observations in each group/sample. Since there are 4 observations in each of the 3 firms, the within-groups degrees of freedom will be (4-1) = 3 for each firm. Therefore, the total within-groups degrees of freedom will be 3+3+3=9. Hence, the correct answer is C.

To Compare the Cost of Three Shipping Methods,a Random Sample