Janice Sanders, CEO of Pine Crest Medical Clinic, is concerned over the number of times patients must wait more than $30$ minutes beyond their scheduled

appointments. She asked her assistant to take random samples of $55$ patients to see how many in each sample had to wait more than $30$ minutes. Each instance

is considered a defect in the clinic process. The table below contains the data for $15$ samples.

a$.$ Assuming Janice Sanders is willing to use three$-$sigma control limits$,$ construct the upper and lower control limits$.$

The $UC{L}_p$ equals $,$ and the $LC{L}_p$ equals $,.($Enter your responses rounded to four decimal places. If your answer for $LC{L}_p$ is negative, enter this value as $0.$