Use the Data in the Given Table and the Corresponding

question 78

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

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Definitions:

Economic Profits

The difference between total revenue and the total costs (both explicit and implicit costs) of a company, indicating the surplus generated from business activities.

Savings Account

An account for holding deposits at a bank or another financial entity, ensuring the safety of the principal amount while offering a slight interest rate.

Annual Interest

The amount of interest due over the course of a year on borrowed capital or invested funds.

Accounting Profits

The difference between a company's total revenue and its explicit costs, not including opportunity costs.