A company making tires for bikes is concerned about the exact width of their cyc

Question

A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.6 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.2 mm and the mean is 22.9 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process? A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.6 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.2 mm and the mean is 22.9 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process?

Explanation / Answer

Lower specification limit (LSL) = 22.6

Upper specification limit (USL) = 23.2

Standard deviation (SD) = 0.2

Mean = 22.9

Cpl = (Mean - LSL) / (3 x SD)

= (22.9-22.6)/(3 x 0.2)

= 0.3/0.6

= 0.5000

Cpu = (USL - Mean) /(3 x SD)

= (23.2-22.9)/(3 x 0.2)

= 0.3/0.6

= 0.5000

Process capability index = Minimum of (Cpu, Cpl)

= Minimum of (0.5000,0.5000)

= 0.5000

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