An engineer is interested in the effect of cutting speed and tool geometry on the life in hours of a machine tool. Two cutting speeds and two different geometries are used. Three experimental tests are accomplished at each of the four combinations. The data are as follows.(a) Show an analysis-of variance table with tests on interaction and main effects.(b) Comment on the effect that interaction has on the test on cutting speed.(c) Do secondary tests that will allow the engineer to learn the true impact of cutting speed.(d) Show a plot that graphically displays the interactioneffect.

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Cutting Speed Tool Geometry Low 22 28 20 18 15 16 High 34 37 29 11 10 10