Suppose an experiment employing a randomized block design has five treatments and seven blocks, for a total of 5 * 7 = 35 observations. Assume that the Total Sum of Squares for the response is SS1Total2 = 700. For each of the following partitions of SS(Total), test the null hypothesis that the treatment means are equal and test the null hypothesis that the block means are equal. Use a = .05 for each test.

a. The Sum of Squares for Treatments (SST) is 25% of SS(Total), and the Sum of Squares for Blocks (SSB) is 20% of SS(Total).

b. SST is 30% of SS(Total), and SSB is 40% of SS(Total).

c. SST is 45% of SS(Total), and SSB is 50% of SS(Total).

d. SST is 25% of SS(Total), and SSB is 25% of SS(Total).

e. SST is 35% of SS(Total), and SSB is 10% of SS(Total). Applying the Concepts—Basic