Refer to Exercise 15.16.
a. Describe how the varieties of plants and planting densities would be randomly ­assigned to the plots of land.
b. Compute the relative efficiency of the randomized block design compared to a completely randomized design. Do you think it was necessary for the researchers to block on fields? Explain.
c. During the summer months when the experiment was conducted, it was unusually hot, and the researcher decides to repeat the experiment during the next growing season. The researcher would like to use the same three fields, but this time he would like to plant celebrity plants on field 1, sunbeam on field 2, and trust on field 3. Explain to the researcher why this design may not be appropriate.
In exercise

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Variety Sunbeam Celebrity Trust Density Density Density 20k 35k Field 5k 50k 5k 20k 35k 50k 5k 20k 35k 50k 32.5 39.9 42.5 38,2 33.4 47.2 44.5 43.5 411 48.7 53.5 48.4 32.2 43.2 47.6 43.5 33.4 51.3 52.244.1 418 512 55.955.9 49.9 59,0 66.3 58.3 60.8 66 70.7 60.6 60.8 67.6 73.2 67.8