In a manufacturing setting, a process capability study has been conducted on a production line for assembling a certain type of widget. The process can produce widgets with a mean length of 2.5 inches and a standard deviation of 0.1 inches. What is the process capability index (Cpk) for this process?
A quality auditor records the following times (in minutes) for 8 samples from the process: 5, 7, 9, 10, 10, 12, 14, 15. Calculate the standard deviation.