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Part $1$

An ad agency tracks the$$ complaints, by week$$ received, about the billboards in its$$ city:

$$

Week

No$.$ of Complaints

$1$

$33$

$2$

$66$

$3$

$44$

$4$

$1212$

$5$

$22$

$6$

$99$

This exercise contains only parts$$ a$,$ b$,$ and c$.$

Part $2$

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

c minus chartc$$chart

$.$

Part $3$

$$b$)$ Using z$=33,$ the control chart limits for this process are$($assume that the historical complaints rate is$$ unknown$)$: