Duracell is examining its manufacturing process associated with its RB032 batteries that are commonly used in calculators. The diameter of a good RB032 battery must be no more than 2.51 cm and no less than 2.49 cm. Duracell has noticed that its production process has a mean of 2.502 with a standard deviation of 0.004 cm.
1) Under this process, what percentage, of the batteries that Duracell produces, are good?
2) What is the Cpk associated with this process?
3) If Duracell wants to move towards six-sigma capability by reducing its standard deviation, how much should it reduce it?
4) Before making the change, Duracell noticed that it is easier to move the mean than to reduce the standard deviation. How should Duracell change the mean and standard deviation of its production process to achieve six-sigma capability most easily?