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.

SAMPLE $12345678910$

IRREGULARITIES $1653456543$

Determine the c$$

$,$ Sc

$,$ UCL and LCL for a c $-$chart with z $=2.$

Note: Leave no cells blank. Round up any negative LCL value to $0.$ Round your answers to $2$ decimal places.

Suppose the next five rolls from the supplier had two, two, six, two, and six irregularities. Is the supplier process under control?

multiple choice

Yes

No