An experiment was conducted to determine the effect of sintering time (two levels) on the compressive strength of two different metals. Five test specimens were sintered for each metal at each of the two sintering times. The data (in thousands of pounds per square inch) are shown in the accompanying table.

a. Perform an analysis of variance for the data, and construct an analysis of variance table.

b. What is the practical significance of an interaction between sintering time and metal type?

c. Do the data provide sufficient evidence to indicate an interaction between sintering time and metal type? Test using α = .05.

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SINTIME Sintering Time 100 minutes 200 minutes 17.1 16.5 14.9 19.4 18.9 20.1 Metal 15.2 16.7 17.2 20.7 2 12.3 13.8 10.8 15.6 17.2 16.7 11.6 12.1 16.1 18.3