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In: Statistics and Probability

A company produces small engines for regular cars, and it decides to produce a larger engine...

  1. A company produces small engines for regular cars, and it decides to produce a larger engine that will be used for trucks. As the company has never produced this kind of engine, a specific piston ring size needs to be purchased in order to produce the new engine. Assume that you are responsible for the procurement of that piston ring from three different suppliers. The inside diameter length of the piston has been determined as a quality characteristic with a specification of 1.500±0.009 inches. The statistical process control studies done by the suppliers have indicated that their processes are in control with the following process parameters.

Supplier 1;       X=1.500 inches

                        σx=0.003 inches

Supplier 2;       X=1.500 inches

                        σx=0.0022 inches

Supplier 3;       X=1.4950 inches

                        σx=0.0015 inches

                       

Which supplier would you purchase from, why? Explain your logic and show calculations and graphical evidence to back it up.

  1. Draw the approximate relative graphs for each supplier, assuming the diameters are normally distributed
  2. Support your answers with process capability index (Cpk) and process capability ratio (Cp) for the three suppliers?

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