Good Afternoon,

1. A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because 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. Gasoline Brands II III 21 20 26 27 Automobiles 29 34 25 24 24 a. At a =0.05, is there a significant difference in the mean miles-per-gallon characteristics of the three brands of gasoline? b. Analyze the experimental data using the ANOVA procedure for completely randomized designs. Compare your findings with those obtained in part (a). What is the advantage of attempting to remove the block effect? 2. In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. At a .05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? Brand y Z 91 99 83 100 96 88 88 94 89 89 99 76