In evaluating a specific machine$$s capability to satisfactorily cut units to a specific size, our organization needs to compute and evaluate a process capability index, C$\_$p$,$ to ensure the machine can satisfactorily produce pieces between $112\mathrm{.}5$ and $113\mathrm{.}5.$ The process average, or mean, is $112\mathrm{.}9.$ Using an index of $(>)1\mathrm{.}33$ to determine acceptance and a process standard deviation, $\backslash$sigma $=\mathrm{.}1,$ determine acceptance or rejection. List the capability index used in your analysis.