An international production shop, APEX Fabrications, produces parts for the automotive market. Specifically APEX produces connecting rods with an outer diameter that has a $1\backslash$pm $\mathrm{.}01$ inch specification. One of APEX machists 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.

Calculate the process capability index for this example. $($Round your answer to $3$ decimal places.$)$

Process capability index