Houston North Hospital is trying to improve its image by providing a positive experience for its patients and their relatives. Part of the$$ "image" program involves providing$$ tasty, inviting patient meals that are also healthful. A questionnaire accompanies each meal$$ served, asking the$$ patient, among other$$ things, whether he or she is satisfied or unsatisfied with the meal. A $150-$patient sample of the survey results over the past $7$ days yielded the following$$ data:

$$

Day

No$.$ of Unsatisfied Patients

Sample Size

$1$

$24$

$150$

$2$

$20$

$150$

$3$

$6$

$150$

$4$

$13$

$150$

$5$

$8$

$150$

$6$

$28$

$150$

$7$

$17$

$150$

The control limits to include$99\mathrm{.}73\%$ of the random variation in meal satisfaction$$ are:

Part $2$

UCLp $=$ enter your response here $($enter your response as a number between $0$ and$1,$ rounded to three decimal$$ places$).$