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A cement manufacturing company has a packing plant containing a large number of backing machines. To test the consistency of packing performance across machines, three machines (denoted by MIC 1, WC 2, and WC 3) were selected from the plant, and 20 bags (each bag supposed to be of weight 50 lb) were filled in each of the three machines. The data (given below) indicates the actual weight in pounds of eachl of the 60 bags. a) Suppose the interest lies in the comparison of the three chosen machines in the plant. Analyze the data using one way layout with fixed effects. Your work should include a ANOVA and F test. b) Please provide a residual analysis to assess the model and do a multiple comparison (Tukey method) among the pair of machines.