Use the Data in the Given Table and the Corresponding

question 162

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. $\begin{array}{l|lll} & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \text { Car 1 } & 22.4 & 25.2 & 24.3 \\\text { Car 2 } & 19 & 18.6 & 19.8 \\\text { Car 3 } & 24.6 & 25 & 25.4 \\\text { Car 4 } & 23.5 & 23.6 & 24.1\end{array}$


$\begin{array}{lrrrrc}\text { Source } & \text { DF } & \text { SS } & {\text { MS }} & \text { F } & \text { p } \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & 0.000249 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}$

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Definitions:

Blood Pressure

The force exerted by circulating blood on the walls of blood vessels, critical for maintaining the body's circulatory function.

Type A Behavior Pattern

A personality style characterized by high levels of competitiveness, self-imposed stress, aggression, and a sense of urgency.

Time Urgency

A feeling of pressure to complete tasks or make decisions quickly, often resulting in elevated stress levels and a hurried pace of life.

Easily Aroused Hostility

A personality trait characterized by a quick tendency to become hostile or angry in response to perceived threats or frustrations.