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

A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.9 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.14 mm and the mean is 0.15 mm.

What is the process capability index for the process? (Round your answer to 4 decimal places.)

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  1. Process capability index = 0.3571

    Explanation:

    Process Capability Index  or Capability ratio is a measure of the ability of a process to produce output within certain limitations.

    It is given by the equation:

    Capability Ratio = (USL - LSL) / (6σ)

    Here,

    = (23.2 - 22.9) / 6x0.14

    =(0.3) / 0.84

    = 0.3571

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