The Following ANOVA Table Shows the Results of an Experiment

question 21

Essay

The following ANOVA table shows the results of an experiment used to test how race car drivers and different tracks affect time.The experiment used 3 different drivers on 4 different tracks.Assuming no effect from the interaction between driver and track,test the claim that the three drivers have the same mean time. $$\begin{array}{l}\begin{array} { l r c c c c } &&\text { Sum of}&{ Mean }\\\text { Source } & \text { DF } & \text { Squares } & \text { Square } & \text { F-ratio } & \text { P-value } \\\text { Driver } & 2 & 2 & 1 & 0.33 & 0.729 \\\text { Tradk } & 3 & 98.25 & 32.75 & 10.92 & < 0.0001 \\\text { Error } & 6 & 18 & 3 & & \\\text { Total } & 11 & 118.25 & & &\end{array}\end{array}$$

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