The Following Table Entries Are the Times in Seconds for Three

question 69

Essay

The following table entries are the times in seconds for three different drivers racing on four different tracks.
Assuming no effect from the interaction between driver and track, test the claim that the three drivers have the
same mean time. Use a 0.05 significance level. $\begin{array}{c|cccc} & \text { Track 1 } & \text { Track 2 } & \text { Track 3 } & \text { Track 4 } \\\hline \text { Driver 1 } & 72 & 70 & 68 & 71 \\\text { Driver 2 } & 74 & 71 & 66 & 72 \\\text { Driver 3 } & 76 & 69 & 64 & 70\end{array}$
$$\begin{array} { l c c c r c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & p \\\text { Driver } & 2 & 2 & 1 & 0.33 & 0.729 \\\text { Track } & 3 & 98.25 & 32.75 & 10.92 & 0.00763 \\\text { Error } & 6 & 18 & 3 & & \\\text { Total } & 11 & 118.25 & & &\end{array}$$