The executives of a large press-forging factory decided to conduct a process capability study on a punch-press operation. One of the characteristics of interest is the width of the slot having a specification of 0.4040 = 0.007 inch. 25 samples of 5 pieces were obtained during a shift, and the sample means and ranges are plotted below. UCL3=0.4062 X = 0.4039 0.4070 0.4060 0.4050 0.4040 0.4030 0.4020 0.4010 0.4000 LClx=0.4016 1 5 10 15 20 25 0.010 UCLR = 0.00846 0.005 ww R=0.004 o 1 5 10 20 25 15 Sample a) (1 point) If o = 0.00173, determine process capability ratio, assuming the factory uses 6-sigma approach for it. = b) (1 point) If o = 0.00173, determine process capability index, assuming the factory uses 3-sigma approach for it. c) (2 point) Determine if the process is capable of meeting the specification. Give a written justification to your answer, providing details for both, process capability ratio and process capability index