Use the Data in the Given Table and the Corresponding

question 86

Essay

Use the data in the given table and the corresponding Minitab display to test the hypothesis.
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 four cars have the same mean mileage. Use a 0.05 significance level. $\begin{array}{l|lll} & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \text { Car 1 } & 22.4 & 25.2 & 24.3 \\\text { Car 2 } & 19 & 18.6 & 19.8 \\\text { Car 3 } & 24.6 & 25 & 25.4 \\\text { Car 4 } & 23.5 & 23.6 & 24.1\end{array}$

$\begin{array}{lrcrrc}\text { Source } & D F & S S & M S & F & p \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & 0.000249 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}$

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Definitions:

Average Total Cost

The total costs of production (both fixed and variable costs) divided by the quantity of output produced, indicating the cost per unit of output.

Marginal Cost

The rise in overall expenses resulting from the manufacture of an extra unit of a good or service.

Average Variable Cost

The total variable cost divided by the quantity of output, representing the variable cost per unit of output produced.

Marginal Cost

The expenditure involved in creating an additional product unit.