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

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 $"$O$".$ 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.