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. $$\begin{array}{l}\begin{array}{lrcccc}& & \text{ Sum of}& Mean& & \\ \text{ Source }& \text{ DF }& \text{ Squares }& \text{ Square }& \text{ F-ratio }& \text{ P-value }\\ \text{ Driver }& 2& 2& 1& 0.33& 0.729\\ \text{ Tradk }& 3& 98.25& 32.75& 10.92& <0.0001\\ \text{ Error }& 6& 18& 3& & \\ \text{ Total }& 11& 118.25& & & \end{array}\end{array}$$

ANOVA Table

A table used to summarize the data analysis for an Analysis of Variance, showing sources of variance, degrees of freedom, sum of squares, mean squares, and the F-statistic.

F-ratio

A statistical measure used in ANOVA testing that compares the variances between groups to variances within groups.

P-value

A statistic that measures the probability of obtaining test results at least as extreme as the results actually observed, assuming that the null hypothesis is correct.