a$)$ A machining process at the Mach$4$ Tool Co$.$ has a required dimension on a part of $0\mathrm{.}575+-0\mathrm{.}007$ inch. Dimensions of $25$ parts were measured and are available in the excel data file posted in D$2$L$.$

Compute the process capability indexes 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$?$

Estimate the percentage of parts that will be nonconforming assuming a normal distribution.