Question: Manufacturing and Product Development A company that produces hospital furniture has two assembly lines dedicated to cutting and drilling wood for medical cabinets. Each computer-controlled process is designed to drill holes in a certain cabinet part with depth 12.7 mm. Independent random samples of drilled holes were obtained from the two assembly lines, the resulting hole depths (in mm) were recorded. Assume the underlying populations are normal, with equal variances.
a. Is there any evidence to suggest that Line 2 is producing holes with a greater population mean depth than Line 1? Use a = 0.05.
b. Find bounds on the p value associated with this hypothesis test.