A small corporation makes insulation shields for electrical wires using three different types of machines. The corporation wants to compare the inside diameter dimension of the shields produced by the machines. A quality engineer at the corporation randomly selects shields produced by each of the machines and records the inside diameters of each shield (in millimeters). The data are given here:

Shield Machine A Machine B Machine C 1 18.1 8.7 29.7 2 2.4 56.8 18.7 3 2.7 4.4 16.5 4 7.5 8.3 63.7 5 11.0 5.8 18.9 6 107.2 7 19.7 8 93.4 9 21.6 10 17.8 Test to see if the machines had an effect on the inside diameter dimension of the shields, using = .01. For this test, specify the null and alternate hypotheses that are being tested, construct an ANOVA table, specify the appropriate critical value for the test, and clearly state the conclusion of the test in the context of the problem.