Agricultural researchers are studying three different ways of planting peanuts to determine whether significantly different levels of production yield will result. The researchers will have access to a large peanut farm on which to conduct their test. 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 conclude whether there is a significant difference in yields among the planting methods.

At 1 percent significant level:

(a) State the hypothesis

(b) Conduct your analysis using statistical software.

(c) Explain in words the conclusion.