Problem $10-18($Static$)$

A metal fabricator produces connecting rods with an outer diameter that has a $\backslash (1\backslash$pm $\mathrm{.}01\backslash )$ 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 example.

Note: Round your answer to $3$ decimal places.

Answer is complete but not entirely correct.

Process capability index