Problem $13-7($Algo$)$

Ten samples of $15$ parts each were taken from an ongoing process to establish a p$-$chart for control. The samples and the number of defectives in each are shown in the following table:

$\backslash$table$[[$SAMPLE$,n,\backslash$table$[[$NUMBER OF$],[$DEFECTIVE$],[$ITEMS IN THE$],[$SAMPLE$]]],[1,15,1],[2,15,3],[3,15,2],[4,15,2],[5,15,2],[6,15,0],[7,15,2],[8,15,1],[9,15,3],[10,15,2]]$

a$.$ Determine the $\frac{?}{\text{b}\text{a}\text{r}}(p),S_p,$ UCL, and LCL for a p$-$chart of $95$ percent confidence $(1\mathrm{.}96$ standard deviation$).$

Note: Leave no cells blank. Round up any negative LCL value to $"0".$ Round your answers to $3$ decimal places.

$\backslash$table$[[p^{-},],[Sp,],[$UCL$,],[$LCL$,]]$

b$.$ What comments can you make about the process?

The process is out of statistical control.

The process is in statistical control.