2. [15 points) A plant biologist conducted an experiment to compare the yields of 4 varieties of peanuts (A, B, C, D}. x plot of land was divided into 16 subplots (4 rows and 4 columns}, where rows correspond to different watering frequencies and columns correspond to different soil types. The following Latin square design was run. The responses are given in the following table. _ Soil type Watering Frequency Scheme 1 2 3 4 C=39 D=32 A=40 B=36 B=4O C=34 D=33 A=33 C=35 l 2 3 4 1} (5 points] There are three factors in this des'gn. Which onelsl are nuisance factor and which onels} are treatment factor? Why? 2} (5 points] Analyze the data and draw appropriate conclusions as = 0.01. 3} (2 points] Check model adequacy. 4} {3 points] What are your recommendations to the plant biologist