Additional Problem $10-2($Algo$)$

An e$-$commerce website has received some complaints on packaging errors. Managers ask the shipping and handling department to

monitor the shipping process and make sure of the quality in their process. To monitor the process, for $10$ consecutive weeks, they

look into the first $100$ shipments and count the number of packaging errors as shown in table below:

Construct a two$-$sigma limit control chart to show whether the shipping process in this e$-$commerce firm needs any improvement or

performs at an acceptable level. $($Round your answer to three decimal places.$)$

Upper Control Limit

Lower Control Limit