The Following ANOVA Table Shows the Results of an Experiment

question 8

Essay

The following ANOVA table shows the results of an experiment used to test the effect of car type and gas brand on mileage.In the experiment 4 different types of cars and 3 different brands of gas were used.Assuming no effect from the interaction between car and brand of gas,test the claim that the four cars have the same mean mileage. $$\begin{array}{l}\begin{array} { c } &&\text { Sum of}&{ Mean }\\\text { Source } & \text { DF } & \text { Squares } & \text { Square } & \text { F-ratio } & \text { P-value } \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & < 0.0001 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}\end{array}$$

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Definitions:

Fundamental Attribution Error

The inclination to excessively focus on individual traits while disregarding the influence of the context when evaluating the actions of others.

Motivation

The driving force behind an individual's actions, desires, and needs.

Political Conservatives

Individuals who generally prefer to uphold traditional values and are cautious about embracing change or innovation, often emphasizing free enterprise, private ownership, and socially conservative ideas.

Political Liberals

Individuals who typically advocate for social equality, personal freedoms, and governmental interventions to address social inequalities.