Analysis of the Impact of Octane Levels on Gas Mileage Using One-Way ANOVA

A statistical analysis on the effects of octane levels on fuel efficiency.

Michael Davis

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Analysis of the Impact of Octane Levels on Gas Mileage Using One-WayANOVAAssignment(Chapter 13)Suppose the Environmental Protection Agency (EPA) is conducting a study to assess the impactof octane levels on gas mileage for six different cars. The gas mileage for each car was testedwith three different octane levels: 87, 89, and 93. Using Minitab, analyze the data provided andanswer the following:1.Identify the factor, its levels, and the blocks in the experiment.2.Define the response variable and explain the assumptions related to normality,homogeneity of variance, and independence, including the corresponding results of thetests.3.State the null and alternative hypotheses for determining whether the octane level has aneffect on gas mileage.4.Using a 5% significance level, perform a one-way ANOVA to test if the octane levelsignificantly affects gas mileage. Include the relevant Minitab outputs, and explain yourfindings based on the p-value.Word Count Requirement: 500-600 words

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