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

$1152$

$2152$

$3150$

$4152$

$5151$

$6153$

$7152$

$8151$

$9153$

$10152$

a$.$ Determine the p$$

$,$ Sp$,$ UCL 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 $"0".$ Round your answers to $3$ decimal places.$)$