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Suppose an automobile manufacturer designed a radically new lightweight engine a

ID: 3157743 • Letter: S

Question


   

Suppose 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, can we reject the null hypothesis? If so which sets of fuel show significant differences according to the Tukey post-hoc test? i was to do it on rstudio, would be great if you could show how its done there.

Explanation / Answer

Ho: the means are all equal

Ha: at least one of the means is not the same
I ran an ANOVA Test on the columnar data and found F = 0.19135.
By the way, the p-value was 89%.

Gas grade made no difference.

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