Problem 3 A reliability engineer wants to determine if a new lubrication process increases the lifetime of bearings in a machine. The engineer collects data on the lifetime, in hours, of bearings in 14 machines before and after the new lubrication process is applied. Data gathered Life span before lubrication: 120, 150, 130, 110, 125, 140, 135, 115, 145, 130, 125, 135, 140, 130 Life span after lubrication: 135, 160, 140, 120, 135, 155, 145, 125, 155, 140, 135, 145, 155, 140 Use the sign test with @ = 0.10 to infer if there is a significant difference due to the new lubricant