A metal fabricator produces connecting rods with an outer diameter that has a $1+-\mathrm{.}01-$inch

specification. A machine operator takes several sample measurements over time and determines

the sample mean outer diameter to be $1\mathrm{.}002$ inches with a standard deviation of $\mathrm{.}003$ inch.

a$.$ Calculate the process capability index for this example.

b$.$ What does this figure tell you about the process?