1.A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01–inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.
a.
Calculate the process capability index for this example.
b.
What does this figure tell you about the process?
2. Output from a process contains 0.02 defective unit. Defective units that go undetected into
final assemblies cost $25 each to replace. An inspection process, which would detect and
remove all defectives, can be established to test these units. However, the inspector, who
can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection
station be established to test all units?
a.
What is the cost to inspect each unit?
b.
What is the benefit (or loss) from the inspection process?