Problem $10-23($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:

SAMPLE n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE

$1152$

$2150$

$3153$

$4153$

$5153$

$6151$

$7153$

$8152$

$9150$

$10153$

Determine the p$$

$,$ Sp

$,$ UCL and LCL for a p$-$chart of $95$ percent confidence $(1\mathrm{.}96$ standard deviations$).$

Note: Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Round your answers to $3$ decimal places.