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Question 943:

Suppose the Total Sum of Squares for a design with k=6 treatments and n=36 total measurements (six per treatment) is equal to 500. In each of the following cases, conduct an F-test of the null hypothesis that the mean responses for the treatments are the same. Use a 95% confidence level.
a. Sum of Squares for Treatments is 20% of the Sum of Squares Total.
b. Sum of Squares for Treatments is 50% of the Sum of Squares Total.
c. Sum of Squares for Treatments is 80% of the Sum of Squares Total.
d. What happens to the F-ratio as the percentage of the Total Sum of Squares attributable to treatments is increased?

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