Problem $10-18($Algo$)$

A metal fabricator produces connecting rods with an outer diameter that has a $1+-0\mathrm{.}04$ inch specification. A machine operator takes

several sample measurements over time and determines the sample mean outer diameter to be $1\mathrm{.}005$ inches with a standard deviation

of $0\mathrm{.}009$ inch.

Calculate the process capability index for this example.

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

Process capability indexA metal fabricator produces connecting rods with an outer diameter that has a $1\backslash$pm $0\mathrm{.}04$ inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be $1\mathrm{.}005$ inches with a standard deviation of $0\mathrm{.}009$ inch.

Calculate the process capability index for this example.

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