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:

Wagner Act

Another name for the National Labor Relations Act of 1935, which established the legal right for workers to join unions and engage in collective bargaining in the United States.

Secret Ballot Elections

A voting method that ensures privacy for voters, allowing them to cast their vote anonymously to prevent influence or coercion.

Bargain

A negotiation process between two or more parties to reach a mutually agreeable outcome.

Wagner Act

A foundational piece of U.S. labor law, officially the National Labor Relations Act of 1935, which established workers' rights to collectively bargain and form unions.