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40. A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Be- cause of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment; that is, each brand of automobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) follow. III 20 I 18 24 30 22 20 A B D E Gasoline Brands II 21 26 29 25 23 Automobiles 27 34 24 24 a. At a = .05, is there a significant difference in the mean miles-per-gallon characteris- tics of the three brands of gasoline? b. Analyze the experimental data using the ANOVA procedure for completely random- ized designs. Compare your findings with those obtained in part (a). What is the advantage of attempting to remove the block effect