(a) Perform an analysis of variance of the data of the following Latin- square experiment. In this experiment, the treatments, represented by A, B, and C, are three different kinds of golf balls; each is struck by three different golf clubs, K1, K2, and K3, by each of three different golf professionals, P1, P2, and P3. The following data represent the distances (in yards) from the tee for each golf shot.

(b) Would you normally perform such an experiment without replication? Why?

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K2 P 285 249 P2 350 164 257 P3 278 105 231