Manufacturing and Product Development Better World Technologies claims to have produced a revolutionary new jackhammer with less vibration, reduced noise and energy input, fewer moving parts, and greater impact strength. Independent random samples of conventional jackhammers and new jackhammers were obtained. The impact strength of each, using heavy-duty concrete breakers, was measured (in ft-lb) at 75 psi. The data are given in the following table.
a. Use the Wilcoxon rank-sum test with a = 0.01 to determine whether there is any evidence to suggest that the population median impact strength is higher for the new jackhammer than for the conventional jackhammer. Assume the underlying distributions are continuous.
b. Find the p value for this hypothesis test.