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A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Be- cause of different gasoline perfo

Gasoline Brands 21 20 24 30 Automobiles 29 25 23 24 24 20 a. At a- 05, is there a significant difference in the mean miles-pe

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. 40.
Gasoline Brands 21 20 24 30 Automobiles 29 25 23 24 24 20 a. At a- 05, is there a significant difference in the mean miles-per-gallon chaacteris- 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?
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