Washers used in a certain application are supposed to have a thickness of 2 millimeters. A quality control engineer measures the thicknesses for a sample of washers and tests H0: μ = 2 versus H1: μ ≠ 2.

a. If a Type I error is made, what conclusion will be drawn regarding the mean washer thickness?

b. If a Type II error is made, what conclusion will be drawn regarding the mean washer thickness?

c. This test uses a two-tailed alternate hypothesis. Explain why a two-tailed hypothesis is more appropriate than a one-tailed hypothesis in this situation.