Q$6.$ MKS Inc., produces meter sticks that have a target length of $100$ centimeters with upper and lower specification limits of $100\mathrm{.}05$ and $99\mathrm{.}95$ centimeters respectively. Their existing process produces meter sticks with an average length of $99\mathrm{.}97$ centimeters and a standard deviation of $0\mathrm{.}015$ centimeters. They are considering the purchase of a new machine that can hold a process output average exactly to target with a standard deviation of $0\mathrm{.}02.$ Which machine will provide a better process capability index?