Model II$.$ P$-$Bar $[15$ points$]$

Ross Sannes, the CEO of City Brewing has been experimenting with the use of a new beer label. You

see, many beer labels when placed in a bucket of ice start to peel or crumble leaving the label in

pieces in the hand of the patron as s$/$he tries to enjoy the pre$-$game or after$-$party. A vendor has

introduced Mr$.$ Sannes to a new waterproof, cold$-$proof label that keeps the beer cool and never peels

or crumbles. Sannes has implemented the bottling strategy and has a quality engineer test several

samples per day for a two$-$week period to determine whether the brewery wants to adopt this label.

The data is thus dichotomous $-$ either it peels after being placed in ice water for a period of $20$

minutes or it does not peel. Here is the quality engineer's data:

A$)$ Using the Z$-$Score of $1\mathrm{.}96,$ develop an appropriate Bar Chart by calculating the

following: $[$place a box around each final answer$]*$ Show work. Available points are

in $($parentheses$).$

Bar Average: $(2)$

Bar Standard Deviation: $(2)$

UCL: $(2)=P-$ bar $+Z(sd\frac{P}{b}ar)=$

LCL: $(2)=$ P$-$bar sdPbar