Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four grades are regular, economy, premium, and super premium. The test car made three trial runs on the test track using each of the four grades. The miles per gallon were recorded for each grade. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel are the same? 
Definitions:
Challenging Problem
A problem or question that is difficult to solve and requires significant effort or creativity.
Problem Solving
The process of identifying a challenge or difficulty and finding an effective solution for it.
Human Decision Making
The process by which individuals make choices or come to conclusions based on factors such as personal preference, reasoning, and external influences.
Weak Disposition
A tendency or inclination to behave in a certain way that is perceived as lacking in strength, confidence, or decisiveness.
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