An insurance company samples claim forms for errors created by its employees as well as the amount of time it takes to process a claim. UCL (a) When the process is in control, the proportion of claims with an error is 0.035. A p chart has LCL = 0 and UCL = 0.072. Plot the following seven sample results: 0.035, 0.062, 0.055, 0.049, 0.058, 0.066, and 0.055. 0.08 0.06 0.04 0.02 0.00 Sample Proportion 12 LCL 34567 Sample Number 0.08 0.06 0.04 0.02 0.00 Sample Proportion UCL LCL 1 2 3 4 5 6 7 Sample Number Sample Proportion 0.08- 0.06 0.04 0.02 0.00 UCL LCL 1 2 34567 Sample Number 0.08 0.06 0.04 0.02 0.00 Sample Proportion UCL LCL 1 2 3 4 5 6 7 Sample Number Comment on whether there might be concern about the quality of the process. The process should be checked. All points are not within the control limits. The process should be checked. A large number of data points are on one side of the center line. The process should be checked. The data points indicate a strong trend over time. The process does not need to be checked. All the data points are within the control limits and the location and pattern of points do not cause concern. (b) An x chart for the mean processing time has LCL = 22.2 and UCL = 24.3. The mean is μ = 23.25 when the claim process is in control. Plot the following seven sample results: 22.4, 22.6, 22.65, 23.2, 23.4, 23.85, and 24.1. 25 о Sample Mean x 24 23 22- UCL LCL 1 2 3 4 5 6 7 Sample Number Sample Mean x 25 24 23 22 UCL LCL + 1 2 3 4 5 6 7 Sample Number Sample Mean x 25 24 23 22 UCL LCL + + 1 2 3 4 5 6 7 Sample Number Comment on whether there might be concern about the quality of the process. The process should be checked. All points are not within the control limits. The process should be checked. A large number of data points are on one side of the center line. The process should be checked. The data points indicate a strong trend over time. ○ The process does not need to be checked. All the data points are within the control limits and the location and pattern of points do not cause concern. 25 24 2 2 2 22 23 Sample Mean x UCL LCL + + 1 2 3 4 5 6 7 Sample Number
An insurance company samples claim forms for errors created by its employees as well as the amount of time it takes to process a claim. UCL (a) When the process is in control, the proportion of claims with an error is 0.035. A p chart has LCL = 0 and UCL = 0.072. Plot the following seven sample results: 0.035, 0.062, 0.055, 0.049, 0.058, 0.066, and 0.055. 0.08 0.06 0.04 0.02 0.00 Sample Proportion 12 LCL 34567 Sample Number 0.08 0.06 0.04 0.02 0.00 Sample Proportion UCL LCL 1 2 3 4 5 6 7 Sample Number Sample Proportion 0.08- 0.06 0.04 0.02 0.00 UCL LCL 1 2 34567 Sample Number 0.08 0.06 0.04 0.02 0.00 Sample Proportion UCL LCL 1 2 3 4 5 6 7 Sample Number Comment on whether there might be concern about the quality of the process. The process should be checked. All points are not within the control limits. The process should be checked. A large number of data points are on one side of the center line. The process should be checked. The data points indicate a strong trend over time. The process does not need to be checked. All the data points are within the control limits and the location and pattern of points do not cause concern. (b) An x chart for the mean processing time has LCL = 22.2 and UCL = 24.3. The mean is μ = 23.25 when the claim process is in control. Plot the following seven sample results: 22.4, 22.6, 22.65, 23.2, 23.4, 23.85, and 24.1. 25 о Sample Mean x 24 23 22- UCL LCL 1 2 3 4 5 6 7 Sample Number Sample Mean x 25 24 23 22 UCL LCL + 1 2 3 4 5 6 7 Sample Number Sample Mean x 25 24 23 22 UCL LCL + + 1 2 3 4 5 6 7 Sample Number Comment on whether there might be concern about the quality of the process. The process should be checked. All points are not within the control limits. The process should be checked. A large number of data points are on one side of the center line. The process should be checked. The data points indicate a strong trend over time. ○ The process does not need to be checked. All the data points are within the control limits and the location and pattern of points do not cause concern. 25 24 2 2 2 22 23 Sample Mean x UCL LCL + + 1 2 3 4 5 6 7 Sample Number
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An insurance company samples claim forms for errors created by its employees as well as the amount of time it takes to process a claim.
UCL
(a) When the process is in control, the proportion of claims with an error is 0.035. A p chart has LCL = 0 and UCL = 0.072. Plot the following seven sample results: 0.035, 0.062, 0.055, 0.049, 0.058, 0.066, and 0.055.
0.08
0.06
0.04
0.02
0.00
Sample Proportion
12
LCL
34567
Sample Number
0.08
0.06
0.04
0.02
0.00
Sample Proportion
UCL
LCL
1 2
3
4 5 6 7
Sample Number
Sample Proportion
0.08-
0.06
0.04
0.02
0.00
UCL
LCL
1 2
34567
Sample Number
0.08
0.06
0.04
0.02
0.00
Sample Proportion
UCL
LCL
1 2 3
4 5 6 7
Sample Number
Comment on whether there might be concern about the quality of the process.
The process should be checked. All points are not within the control limits.
The process should be checked. A large number of data points are on one side of the center line.
The process should be checked. The data points indicate a strong trend over time.
The process does not need to be checked. All the data points are within the control limits and the location and pattern of points do not cause concern.
(b) An x chart for the mean processing time has LCL = 22.2 and UCL = 24.3. The mean is μ = 23.25 when the claim process is in control. Plot the following seven sample results: 22.4, 22.6, 22.65, 23.2, 23.4, 23.85, and 24.1.
25
о
Sample Mean x
24
23
22-
UCL
LCL
1
2
3
4
5
6
7
Sample Number
Sample Mean x
25
24
23
22
UCL
LCL
+
1
2
3
4
5
6
7
Sample Number
Sample Mean x
25
24
23
22
UCL
LCL
+
+
1
2
3
4
5
6
7
Sample Number
Comment on whether there might be concern about the quality of the process.
The process should be checked. All points are not within the control limits.
The process should be checked. A large number of data points are on one side of the center line.
The process should be checked. The data points indicate a strong trend over time.
○ The process does not need to be checked. All the data points are within the control limits and the location and pattern of points do not cause concern.
25
24
2 2 2 22
23
Sample Mean x
UCL
LCL
+
+
1
2
3
4 5
6
7
Sample Number
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