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  1. A metal fabricator produces metal rods with an outer diameter that has a 3.260 ±.01 inches specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 3.261 inches with a standard deviation of .002 inches.
    1. Calculate the process capability index (Cpk) for this example.
    2. Determine the probability of producing a defect.
    3. Calculate the DPMO of the process.
    4. Is the process six sigma compliant?
  1. C-Spec, Inc., is attempting to determine whether an existing machine is capable of producing a part that has a key specification of 4.550 ± .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.552 inches with a standard deviation of .001 inch.
    1. Calculate the process capability index (Cpk) for this example.
    2. Determine the probability of producing a defect.
    3. Calculate the DPMO of the process.
    4. Is the process six sigma compliant?
 
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