# Question: Suppose an experiment utilizing a randomized block design has four

Suppose an experiment utilizing a randomized block design has four treatments and nine blocks, for a total of 4 x 9 = 36 observations. Assume that the total sum of squares for the response is SS (Total) = 500. For each of the following partitions of SS(Total), test the null hypothesis that the treatment means are equal and the null hypothesis that the block means are equal (use a = .05 for each test):

a. The sum of squares for treatments (SST) is 20% of SS (Total), and the sum of squares for blocks (SSB) is 30% of SS (Total).

b. SST is 50% of SS (Total), and SSB is 20% of SS (Total).

c. SST is 20% of SS (Total), and SSB is 50% of SS (Total).

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

e. SST is 20% of SS (Total), and SSB is 20% of SS (Total).

a. The sum of squares for treatments (SST) is 20% of SS (Total), and the sum of squares for blocks (SSB) is 30% of SS (Total).

b. SST is 50% of SS (Total), and SSB is 20% of SS (Total).

c. SST is 20% of SS (Total), and SSB is 50% of SS (Total).

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

e. SST is 20% of SS (Total), and SSB is 20% of SS (Total).

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