The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes n = 15 and n2 = 17 are selected, and the sample means and sample variances are = 8.73, s = 0.35, X = 8.68, and s = 0.40, respectively. Assume that of = %3D %3D and that the data are drawn from a normal distribution. Is there evidence to support the claim that the two ma- chines produce rods with different mean diameters? Use a = 0.05 in arriving at this conclusion.

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