Q7.3 (Algo) Precision Machining [7.2]

For a key joint, a precision machining process has a lower specification limit of a width of 0.84 mm and an upper specification limit of 0.88 mm. The standard deviation is 0.007 mm and the mean is 0.865 mm.

(a) What is the process capability index for the bottle filling process? (Round the answer to 3 decimal places.)

(b) The company now wants to reduce its defect probability and operate a "six sigma process." To what level would they have to reduce the standard deviation in the process to meet this target? (Round the answer to 5 decimal places.)