Problem $13-8($Algo$)$ A shirt manufacturer buys cloth by the $100-$yard roll from a supplier. For setting up a control chart to manage the irregularities $($e$.$g$.,$ loose threads and tears$),$ the following data were collected from a sample provided by the supplier. a$.$ Determine the $/$bar $($c$),$S$\_($p$),$UCL and LCL for a c $-$chart with z$=2.($Leave no cells blank. Round up any negative LCL value to $"0".$ Round your answers to $2$ decimal places.$)$ b$.$ Suppose the next five rolls from the supplier had three, two, four, three, and eight irregularities. Is the supplier process under control? No Yes