Agricultural researchers are studying three different ways of planting peanuts to determine whether significantly different levels of production yield will result. The researchers have access to a large peanut farm on which to conduct their tests. They identify six blocks of land. In each block of land, peanuts are planted in each of the three different ways. At the end of the growing season, the peanuts are harvested and the average number of pounds per acre is determined for peanuts planted under each method in each block.

Using the following data and α = .01, test to determine whether there is a significant difference in yields among the plantingmethods.

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Block Method1 Method2 Method 3 1310 1275 1280 1225 1190 1300 1080 1100 1050 1020 990 1030 850 1020 780 870 805 910 4 6