Question: For a key joint, a precision machining process has a lower specification limit of a width of 0.99 mm and an upper specification limit of

For a key joint, a precision machining process has a lower specification limit of a width of 0.99 mm and an upper specification limit of 1.01 mm. The standard deviation is 0.005 mm and the mean is 1 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.)

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