1. At a certain manufacturing plant, a machine produced ball bearings that should have a diameter of 0.50 mm. If the machine produces ball bearings that are either too small or too large, the ball bearings must be scrapped. Every hour, a quality control manager takes a random sample of 30 ball bearings to test to see if the process is "out of control" (i.e. to test to see if the average diameter differs from 0.50 mm).
2. a. State the hypotheses associated with the manager's test.
3. b. Describe a Type I error for this situation's.
4. Describe a Type II error for this situation.