Suppose the total sum of squares for a completely randomized design with p = 5 treatments and

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Suppose the total sum of squares for a completely randomized design with p = 5 treatments and n = 30 total measurements

(6 per treatment) is equal to 600. In each of the following cases, conduct an F-test of the null hypothesis that the mean responses for the 5 treatments are the same.

Use a = .05.

a. Sum of squares for treatment (SST) is 30% of SS(Total)

b. SST is 40% of SS(Total)

c. SST is 70% of SS(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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