A company making tires for bikes is concerned about the exact width of their cyclocross tires. The

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A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.25 mm and the mean is 23 mm.

a. What is the process capability index for the process?

b. The company now wants to reduce its defect probability and run a “six-sigma process.” To what level would they have to reduce the standard deviation in the process to meet this target?

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