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Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in 5-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run on any day. Observations are taken for four days, and the data are shown here. Days Solution 1 2 3 4 1 13 22 18 39 2 16 24 17 44 3 8 5 4 22 (a) Analyze the data from this experiment (use a = 0.05) and draw conclusions. (18 points) (b) Compute a 95 percent confidence interval estimate of the mean of solution 1 (10 points) (c) Make comparisons among the three washing solutions to determine specifically which solutions differ in the effectiveness of retarding bacterial. (12 points) (d) Construct a set of orthogonal contrasts, assuming that at the outset of the experiment you suspected the effectiveness of solution 2 to be different from the other two. What's your conclusion? (12 points) (e) How would you check whether the basic analysis of variance assumptions satisfied? (5 points) Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in 5-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run on any day. Observations are taken for four days, and the data are shown here. Days Solution 1 2 3 4 1 13 22 18 39 2 16 24 17 44 3 8 5 4 22 (a) Analyze the data from this experiment (use a = 0.05) and draw conclusions. (18 points) (b) Compute a 95 percent confidence interval estimate of the mean of solution 1 (10 points) (c) Make comparisons among the three washing solutions to determine specifically which solutions differ in the effectiveness of retarding bacterial. (12 points) (d) Construct a set of orthogonal contrasts, assuming that at the outset of the experiment you suspected the effectiveness of solution 2 to be different from the other two. What's your conclusion? (12 points) (e) How would you check whether the basic analysis of variance assumptions satisfied? (5 points)