A review of farmer involvement in agricultural research was presented in the Journal of Agricultural, Biological, and Environmental Statistics (Mar. 2001). In one study, each of six farmers ranked the level of farm production constraint imposed by five conditions: drought, pest damage, weed interference, farming costs, and labor shortage. The rankings, ranging from 1 (least severe) to 5 (most severe), and rank sums for the five conditions are listed in the table below and saved in the FARM6 file.

a. Use the rank sums shown in the table to compute the Friedman Fr-statistic.

b. At α = .05, find the rejection region for a test to compare the farmer opinion distributions for the five conditions.

c. Draw the proper conclusion in the words of the problem.

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Condition Drought Pest Damage Weed Interference Farming Costs Labor Shortage Farmer 4 Rank sum 27 25 18