Use the Data in the Given Table and the Corresponding

question 7

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:

Pavlov

A Russian physiologist best known for his discovery of classical conditioning, where an organism learns to associate a neutral stimulus with a reflexive response.

Frequency

The number of complete wavelengths that pass a point in a given time (for example, per second).

Daily Exercise

Engaging in physical activity on a regular basis to maintain or improve health and fitness.

Operant Behavior Specialists

Professionals who apply the principles of operant conditioning in therapeutic, educational, or organizational settings to modify behavior.