Process Capability (10 pts each) (1) What is the difference between tolerance limits (design specifications) and control limits (natural variations)? (2) Studies on a machine that molds plastic water pipe indicate that when it is injecting 1-inch diameter pipe, the process standard deviation is 0.05 inches. The one-inch pipe has a specification of 1-inch plus or minus 0.10 inch. What is the process capability index (Cp) if the long-run process mean is 1 inch? (3) The Elon Company manufactures parts for an aircraft company using three computerized numerical controlled (CNC) turning centers. The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch +0.015 inch. The machines have the following parameters: Machine 1 ( = 0.0995, o = 0.004); Machine 2 ( = 0.1002, o = 0.009); Machine 3 (z = 0.095, o =0.005). Determine which machines (if any) can produce the products within the design specifications. = =