1. The table below contains data on examination of medical insurance claims. Every day 50 claims were examined.

Day	Number Nonconforming
1	0
2	3
3	4
4	6
5	5
6	2
7	8
8	9
9	4
10	2
11	6
12	4
13	8
14	0
15	7
16	20
17	6
18	1
19	5
20	7

a. Set up the fraction nonconforming control chart for this process. Plot the preliminary data intable on the chart. Is the process in statistical control?

b. Assume that assignable causes can be found for any outofcontrol points on this chart. What center line and control limits should be used for process monitoring in the next period?

2. The commercial loan operation of a financial institution has a standard for processing new loan applications in 24 hours.The table shows the number of applications processed each day for the last 20 days and the number of applications that required more than 24 hours to complete.

Day	Number of Applications	Number Late
1	200	3
2	250	4
3	240	2
4	300	5
5	200	2
6	250	4
7	246	3
8	258	5
9	275	2
10	274	1
11	219	0
12	238	10
13	250	4
14	302	6
15	219	20
16	246	3
17	251	6
18	273	7
19	245	3
20	260	1

a. Set up the fraction nonconforming control chart for this process. Use the variablewidth control limit approach. Plot the preliminary data in tableon the chart. Is the process in statistical control?

b. Assume that assignable causes can be found for any outofcontrol points on this chart. What center line should be used for process monitoring in the next period, and how should the control limits be calculated?

3. A paper mill uses a control chart to monitor the imperfection in finished rolls of paper. Production output is inspected for 20 days, and the resulting data are shown intable below. Use these data to set up a control chart for nonconformities per roll of paper. Does the process appear to be in statistical control? What center line and control limits would you recommend for controlling current production?

Day	Number of Rolls Produced	Total Number of Imperfections
1	18	12
2	18	14
3	24	20
4	22	18
5	22	15
6	22	12
7	20	11
8	20	15
9	20	12
10	20	10
11	18	18
12	18	14
13	18	9
14	20	10
15	20	14
16	20	13
17	24	16
18	24	18
19	22	20
20	21	17