An important manufacturing process produces cylindrical component parts for the automotive industry. It is important that the process produce parts having a mean of 5 millimeters. The engineer involved conjectures that the population mean is 5.0 millimeters. An experiment is conducted in which 100 parts produced by the process are selected randomly and the diameter measured on each.
It is known that the population standard deviation SIGMA = 0.1. The experiment indicates a sample average diameter x BAR = 5.027 millimeters. Does this sample information appear to support or refute the engineer's conjecture?