A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Becauseof different gasoline performance characteristics in different brands of automobiles,five brands of automobiles are selected and treated as blocks in the experiment; that is, eachbrand of automobile is tested with each type of gasoline. The results of the experiment (inmiles per gallon) follow.Gasoline BrandsI II IIIA 18 21 20B 24 26 27Automobiles C 30 29 34D 22 25 24E 20 23 24a. At a .05, is there a significant difference in the mean miles-per-gallon characteristicsof the three brands of gasoline?b. Analyze the experimental data using the ANOVA procedure for completely randomizeddesigns. Compare your findings with those obtained in part (a). What is theadvantage of attempting to remove the block effect?
