$8.$ In evaluating a specific machine$$s capability to satisfactorily cut units to a specific size, our organization needs to compute and evaluate a process capability index, $,$ to ensure the machine can satisfactorily produce pieces between $77\mathrm{.}52$ and $77\mathrm{.}92.$The process average, or mean, is $77\mathrm{.}77.$ Using the process standard deviation, $=\mathrm{.}055,$ determine acceptance or rejection.$$ List the capability index or indices used in your analysis.