Question: The process for forming a penny involves three steps: i) rolling a copper slug, ii) cutting a blank, and iii) stamping the front and back

The process for forming a penny involves three steps: i) rolling a copper slug, ii) cutting a blank, and iii) stamping the front and back images. The United States Treasury will only accept coins between 12.0 and 13.0 mm in diameter. Step i) produces a slug with a diameter that is normally distributed with a mean of 12.0 mm and a standard deviation of 0.2 mm. Step ii) reduces the diameter by an amount that is uniformly distributed between 1% and 4%. Step iii) adds to the diameter an amount that is normally distributed with a mean of 0.7 mm and a standard deviation of 0.1 mm. You have developed a simulation to assess the performance of this process. Using the following output, what is the process capability index (Cpk) of this process?

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