$6.$ A metal fabricator produces connecting rods with an outer diameter that has a $1\backslash$pm $0\mathrm{.}01$ 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 $0\mathrm{.}003$ inch. Calculate the process capability index for this fabricator.