A plant biologist conducted an experiment to compare the yields of 4 varieties of peanuts (A, B, C, D). A plot of land was divided into 16 subplots (4 rows and 4 columns). The plant biologist uses the design shown in Table Q2. Table Q2 C = 26.7 A = 23.1 B = 29.3 D= 25.1 D= 29.8 C = 29.0 A = 27.3 B= 35.1 A =19.7 B= 29.0 B = 21.7 D= 20.1 C =17.4 D= 24.9 C = 29.0 A = 28.7 What is the most appropriate design for this problem? State the statistical model with the necessary assumptions and identify the terms. (a) (b) Is the design symmetric? Justify your answer. (c) Analyze these data with the appropriate conclusions. (Use a = 0.05).

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