A. Studies on a bottle-filling machine indicates it fill bottles to a mean of 16 ounces with a standard deviation of 0.10 ounces. What is the process specification, assuming the Cp index of 1?

B. 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?

C. The specification limit for a product is 8 cm and 10 cm. A process that produces the product has a mean of 9.5 cm and a standard deviation of 0.2 cm. What is the process capability, Cpk?

D. The specifications for a product are 6 mm ± 0.1 mm. The process is known to operate at a mean of 6.05 with a standard deviation of 0.01 mm. What is the Cpk for this process?

E. Design specifications require that a key dimension on a product measure 100 plus minus 10 units. A process being considered for producing this product has a standard deviation of 5 units.

(1) What can you say (quantitatively) regarding the process capability?

(2) Suppose the process average shifts to 102. Calculate the new process capability.

(3) What can you say about the process after the shift? Approximately what percentage of the items produced will be defective?

Answer rating: 100% (QA)

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