Suppose an automobile manufacturer designed a radically new lightweight engine a

Question

Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will ahve the best fuel economy. The four grades are regular, economy, premium, and super premium. The test car made three trail 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 galon for each fuel are the same?

**They are in Kilometers per liter

Regular Economy Premium Super Premium 39.31 36.69 38.99 40.04 39.87 40.00 40.02 39.89 39.87 41.01 39.99 39.93

Explanation / Answer

Ho: the means are all equal

Ha: at least one of the means is not the same
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I ran an ANOVA Test on the columnar data and found F = 0.19135....
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By the way, the p-value was 89%. Gas grade made no difference.

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