Use the Data in the Given Table and the Corresponding

question 50

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. $$\begin{array}{l}\begin{array} { l | l l l } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \text { Car 1 } & 22.4 & 25.2 & 24.3 \\\text { Car 2 } & 19 & 18.6 & 19.8 \\\text { Car 3 } & 24.6 & 25 & 25.4 \\\text { Car 4 } & 23.5 & 23.6 & 24.1\end{array}\\\\\begin{array} { l r c r r c } \text { Source } & D F & S S & M S & F & p \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & 0.000249 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}\end{array}$$

---

Definitions:

Large Sums

Considerable amounts of money, often involved in financial transactions or investments.

Independence

The state of being free from the control or influence of others, often referring to self-sufficiency in business operations.

Small Businesses

Enterprises characterized by fewer employees and lower revenue compared to larger companies.

Small Business Manager

A person responsible for overseeing and directing the operations of a small business.