The Following Table Shows the Mileage for Four Different Cars

question 14

Essay

The following table shows the mileage for four different cars and three different brands of gas. 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. Use a 0.05 significance level. $\begin{array}{l|lll} & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \text { Car 1 } & 22.4 & 25.2 & 24.3 \\\text { Car 2 } & 19 & 18.6 & 19.8 \\\text { Car 3 } & 24.6 & 25 & 25.4 \\\text { Car 4 } & 23.5 & 23.6 & 24.1\end{array}$
$$\begin{array} { l r r r r c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \mathrm { p } \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & 0.000249 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}$$

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