1.A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Automobiles were randomly subjected to treatments and the results of the experiment (in miles per gallon) are presented below. Please note that in this problem raw data is not provided - you would not need it as partial results are already provided. You will be able to use the partial results to solve the problem and answer the questions. The five automobile types are suspected to introduce "Heterogeneity" as gasoline brands are expected to performance differently in different automobile types. The experimenter would prefer to remove any corruptive effect of heterogeneity to get clean results on Gasoline Brands. Hence the analysis is performed in two phases.

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