how do i do these problems? please show work for each one so i can underatand

1.

2.

part a

part b

Based on your control limits and the dara in the table, what can yiu conclude about the waiting time of the patients?

The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone. Previous studies involved asking a set of 25 questions of a large number of IRS telephone representatives to determine the proportion of correct responses. Historically, the average proportion of correct responses has been 70 percent. Recently, IRS representatives have been receiving more training. On April 26, the set of 25 tax questions were again asked of 20 randomly selected IRS telephone representatives. The proportions of correct answers were: 16, 16, 19, 11, 22, 21, 21, 16, 17, 16, 24, 9, 23, 17, 16, 16, 23, 15, 21, and 17. a. What are the upper and lower controllimits for the appropriate p-chart for the IRS? Use z = 3. The UCLequals and the LCL, equals (Enter your responses rounded to four decimal places. If your answer for LCL is negative, enter this value as 0.) 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 60 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. Number of Number of Number of Sample Defects Sample Defects Sample Defects 1 4 8 11 2 4 7 7 12 3 6 9 1 7 8 9 10 3 11 4 5 4 3 5 2 7 13 14 15 2 a. Assuming Janice Sanders is willing to use three-sigma control limits, construct the upper and lower controllimits. The UCLp equals and the LCL equals(Enter your responses rounded to four decimal places. If your answer for LCL is negative, enter this value as 0.)