You are provided with four separate histograms $($each for a different industry$)$ with the means of all samples over a period of time and have to determine whether each process is capable of producing to specifications. You will need to select the appropriate formula for calculating the process capability index, depending on whether the process is centered within the specification limits or not. A primary learning goal for this challenge is to understand the difference between control limits

and specification limits and how they work together to determine the capability of a process.