Suppose that, in a study to compare body sizes of three genotypes of fourth-instar silkworms, the mean lengths (in millimeters) for separately reared cocoons of heterozygous (HET), homozygous (HOM), and wild (WLD) silkworms were determined at five laboratory sites, as detailed in the following table and in the accompanying computer output.

a. Assuming that this is a randomized-blocks design, what are the blocks and what are the treatments?
b. Why do you think a randomized-blocks analysis is appropriate (or inappropriate) for this experiment?
c. Carry out an appropriate analysis of the data for this experiment, and state your conclusions. Be sure to state the null hypothesis for each test performed.

Site Variable HOM HET 29.87 32.51 35.76 28.16 30.82 33.14 32.08 34.17 36.29 33.46 34.95 29.44 32.99 35.89 Dependent Variable: LENGTH DF Sum of Squares Mean Square F Value Pr> F Source Model Error Corrected Total 84.76168000 2.40629333 87.16797333 14.12694667 46.97 0001 0.30078667 14 R-Square Coeff Var Root MSE length Mean 0.972395 1.677632 0.548440 32.69133 Source DFType ISS Mean Square FValue Pr>F variablo site 65.81397333 32.90698667 109.40 0001 473692687 575 0.0007 4 18.94770667 SourceDF Type lll SS Mean Square F Value Pr>F variable site 65.81397333 4 18.94770667 32:90698667109.40 000 4.73692667 5 0.0007