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

$1153$

$2152$

$3152$

$4152$

$5150$

$6152$

$7151$

$8153$

$9152$

$10151$

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.

What comments can you make about the process?

multiple choice

Process is out of statistical control.

Process is in statistical control.