Transport Canada is concerned about the braking performance of snowmobiles. The following table shows the distances in meters that snowmobiles took to stop when the brakes were applied. The results are grouped by two factors: the speed of the snowmobile and the brand of the snowmobile. If you have access to a computer that can perform two-way analysis of variance, test the claim that the interaction of these two variables does affect mean brake performance, at the 0.01 significance level. What is the F-value for this test?

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Snowmobile Braking Distances (in metres) with Respect to Brand of Snowmobile and Speed Brand A Brand B Brand C Brand D 3.0 3.3 4.8 4.4 7.7 7.0 10 km/h 9.5 7.6 6.8 4.3 3.5 15.8 15.2 19.5 18.0 21.5 20.3 13.7 10.1 12.6 20 km/h 25.1 35.7 48.9 52.5 55.5 32.2 28.9 28.7 30 km/h 37.9 37.5 31.6 66.4 71.1 66.4