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The Following Table Shows the Mileage for Four Different Cars

question 46

Essay

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.  Brand 1  Brand 2  Brand 3  Car 1 22.425.224.3 Car 2 1918.619.8 Car 3 24.62525.4 Car 4 23.523.624.1 Source  DF  SS  MS  F  p  Car 361.24920.41639.0330.000249 Gas 22.2221.1112.1240.200726 Error 63.1380.523 Total 1166.609\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 c 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:

Cross-Cultural Communication

The process of recognizing and understanding the differences and similarities in communication across different cultures.

High-Context Cultures

Cultures in which communication is often indirect, and the context in which a message is delivered is just as important as the message itself.

Value Silence

The appreciation or acknowledgment of silence as an important and meaningful aspect of communication or interaction.

Barriers

Obstacles or factors that impede progress, communication, or achievement.

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