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

$1152$

$2150$

$3153$

$4153$

$5153$

$6151$

$7153$

$8152$

$9150$

$10153$

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.$)$

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

multiple choice

Process is out of statistical control

Process is in statistical control