Sample No$.$

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

No$.$ of Incorrect Bills

$7$

$5$

$16$

$4$

$1$

$4$

$3$

$6$

$9$

$2$

Part $2$

$$a$)$ The value of mean fraction defective $($p overbar$)=$

$$

$0\mathrm{.}057($enter your response as a fraction between $0$ and$1,$ rounded to four decimal$$ places$).$

Part $3$

The control limits to include$99\mathrm{.}73\%$ of the random variation in the billing process$$ are:

UCL Subscript p $=$

$$

$0\mathrm{.}126($enter your response as a fraction between $0$ and$1,$ rounded to four decimal$$ places$).$

Part $4$

LCL Subscript p $=$

$$

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

Part $5$

Based on the developed control$$ limits$,$ the number of incorrect bills processed has been

OUT OF CONTROL

$.$

Part $6$

$$b$)$ To reduce the error$$ rate, which of the following techniques can be$$ utilized:

A$.$

Pareto Chart

B$.$

Brainstorming

C$.$

$$Fish$-$Bone Chart

D$.$

All of the above