$11$

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 IN THE$]]],[$SAMPLE$,n,$SAMPLE$],[1,15,1],[2,15,1],[3,15,1],[4,15,0],[5,15,2],[6,15,3],[7,15,1],[8,15,0],[9,15,2],[10,15,1]]$

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

Process is out of statistical control $$

Process is in statistical control