Three varieties of potatoes are being compared for yield. The experiment is conducted by assigning each variety at random to one of 3 equal-size plots at each of 4 different locations. The following yields for varieties A, B, and C, in 100 kilograms per plot, were recorded:.
Location 1 Location 2 Location 3 Location 4 B: 13 C: 21 C: 9 A: 11 A: 18 A: 20 B: 12 C: 10 C :12 B: 23 A: 14 B: 17
Perform a randomized complete block analysis of variance to test the hypothesis that there is no difference in the yielding capabilities of the 3 varieties of potatoes. Use a 0.05 level of significance. Draw conclusions.