The Following ANOVA Table Shows the Results of an Experiment

question 11

Essay

The following ANOVA table shows the results of an experiment used to test the effect of car type and gas brand on mileage.In the experiment 4 different types of cars and 3 different brands of gas were used.Assuming no effect from the interaction between car and brand of gas,test the claim that the three brands of gas provide the same mean gas mileage. $$\begin{array}{l}\begin{array} { l r c c c r } &&\text { Sum of}&{ Mean }\\\text { Source } & \text { DF } & \text { Squares } & \text { Square } & \text { F-ratio } & \text { P-value } \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & < 0.0001 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}\end{array}$$

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