$($enter your response as a number between $0$ and $1,$ rounded to three decimal places$).$

The type of control chart that is best to monitor this process is

a$)$ Establish the control limits to include $99\mathrm{.}73\%$ of the random variation in defectives.

UCLp $=$

LCLp $=$

b$)$ Has the process been in control?

Based on the developed control limits$,$ the number of defectives has been

c$)$ If the sample size were $100$ instead, how would your limits and conclusions change?

UCLp $=$

LCLp $=$

Based on the developed control limits$,$ the number of defectives has been

$($enter your response as a number between $0$ and $1,$ rounded to three decimal places$).$

Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is $150.$ Results are given for the last $10$ samples.

$\backslash$table$[[$Sample$,1,2,3,4,5,6,7,8,9,10],[$Defectives$,5,7,2,5,12,5,5,4,2,11]]$

p $-$ chart

x $-$ chart

c $-$ chart

IN$-$CONTROL

OUT OF CONTROL

OUT OF CONTROL

IN$-$CONTROL