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:

Silica Content

The proportion of silicon dioxide (SiO2) in a rock, mineral, or geological sample, influencing its physical properties and behavior.

Caldera

A vast volcanic depression, usually created when land collapses after a volcanic explosion.

Pyroclastic Flows

Fast-moving current of hot gas and volcanic materials that move away from a volcano during an explosive eruption.

Ash Column

A large plume of volcanic ash that is ejected into the atmosphere during a volcanic eruption.