Question $1$

USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS $1$

THROUGH $3$

A cereal manufacturer monitors the fill weight of packages of cereal with a

mean control chart. The average package weight is $17\mathrm{.}00$ ounces and the

standard deviation of the package filling process is $0\mathrm{.}25$ ounces. Samples

are taken from the process to be weighed every two hours, and the sample

size is $20$ packages. Under normal operating conditions, the company

expects that $95$ percent of the sample means will fall within control limits$.$

What is the value of the upper control limit $($UCL$)?($Please round your

answer to two decimal places$)$