A machining process at the Mach$4$ Tool Co$.$ has a required dimension on a part of $0\mathrm{.}57560\mathrm{.}007$ inch. Dimensions of $25$ parts were measured and are available in the C$08$ Problem Data workbook.

a$.$ Compute the process capability indexes using formulas $(8\mathrm{.}25)$ through $(8\mathrm{.}28)$ and interpret the results.

b$.$ Adjustments were made in the process and $25$ more samples were taken and measured, which are also provided in the data file. What can you observe about the process? Is it now capable of producing within acceptable limits$?$