Problem $10-24($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 $\frac{?}{\text{b}\text{a}\text{r}}(c),S_c,$ 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.

b$.$ Suppose the next five rolls from the supplier had three, one, four, six, and eight irregularities. Is the

supplier process under control?

Yes

No 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 $1638466258$

Determine the c$$

$,$ Sc

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