Specifications are that a product be $104+-14cm.$ The current process is centered on the specs and has a standard deviation of seven $cm.$

a$.$ What is the process capability index? Round your intermediate and final answers to $4$ decimal places $($e$.$g$.,0\mathrm{.}12345$ would be rounded as $0\mathrm{.}1235,$ not $0\mathrm{.}1234).$

Process capability index

b$.$ Suppose the process average shifts to $95.$ Calculate the new process capability index. Round your intermediate and final answers to $4$ decimal places $($e$.$g$.,0\mathrm{.}12345$ would be rounded as $0\mathrm{.}1235,$ not $0\mathrm{.}1234$