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...

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 (C_pk) of this process?

Extracted text: Statistic Forecast values Trials 1,000 Base Case 11.76 Mean 12.40 Median 12.41 Mode Standard Deviation 0.24 Variance 0.06 Skewness -0.0197 Kurtosis 2.82 Coeff. of Variability 0.0195 Minimum 11.61 Maximum 13.10 Mean Std. Error 0.01