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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Definitions:

Property Dividend

A type of dividend payment made in assets other than cash, such as stocks or physical assets.

Excess Liquidity

The situation where an organization or individual possesses more cash resources than are necessary for current operations or investments, potentially indicating underutilization of assets.

Common Shareholders

Shareholders who claim the residual profits and assets of a corporation, and usually have the exclusive power and right to elect the directors of the corporation.

Dividend

A portion of a company's earnings distributed to its shareholders, usually in the form of cash or stock.