Suppose an Experiment Utilizing a Random Block Design Has 5 $\mathrm { SS }$

Multiple Choice

Suppose an experiment utilizing a random block design has 5 treatments and 11 blocks for a total of 55 observations. Assume that the total Sum of Squares for the response is $\mathrm { SS }$ (Total) $= 400$ . If the Sum of Squares for Treatments (SST) is $30 \%$ of SS(Total) , and the Sum of Squares for Blocks (SSB) is $20 \%$ of SS (Total) , find the $F$ values for this experiment.

A) treatments: $F = 4.80$ ; blocks: $F = 1.45$
B) treatments: $F = 8.1$ ; blocks: $F = 2.16$
C) treatments: $F = 6.00$ ; blocks: $F = 1.60$
D) treatments: $F = 19.00$ ; blocks: $F = 7.60$