In the p-chart of Audit Data shown below, if the estimate of the standard deviation was 0.0724, what value of z was used to calculate the upper and lower control limits?
In the p-chart of Audit Data shown below, if the estimate of the standard deviation was 0.0724, what value of z was used to calculate the upper and lower control limits?
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In the p-chart of Audit Data shown below, if the estimate of the standard deviation was 0.0724, what value of z was used to calculate the upper and lower control limits?
![### P Chart of Audit Data
This image shows a P Chart, which is a type of control chart used to monitor the proportion of defective items in a process. The chart is titled "P Chart of Audit Data."
#### Description:
- **Vertical Axis (Proportion):** The vertical axis represents the proportion of defective items in each sample, ranging from 0.05 to 0.45.
- **Horizontal Axis (Sample):** The horizontal axis represents individual samples, numbered from 1 to 25.
- **Data Points:** Each blue dot represents the proportion of defective items in a specific sample. The dots are connected with lines to show trends over time.
- **Control Limits:**
- **Upper Control Limit (UCL):** Represented by the top horizontal red line at 0.4203. This limit helps identify if the process is going out of control on the high side.
- **Lower Control Limit (LCL):** Represented by the bottom horizontal red line at 0.0583. This limit helps identify if the process is going out of control on the low side.
- **Center Line (P):** The green line at 0.2393 represents the average proportion of defective items across all samples.
The chart allows users to observe the performance of the process over the 25 samples. Ideally, all data points should fall within the control limits. If any point lies outside these limits, it may indicate a variation that needs investigation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a142951-8855-49ab-9dd3-43aaa09eb349%2Ff5dea82c-b807-407d-b522-96413e5f98a3%2F44f0u97_processed.png&w=3840&q=75)
Transcribed Image Text:### P Chart of Audit Data
This image shows a P Chart, which is a type of control chart used to monitor the proportion of defective items in a process. The chart is titled "P Chart of Audit Data."
#### Description:
- **Vertical Axis (Proportion):** The vertical axis represents the proportion of defective items in each sample, ranging from 0.05 to 0.45.
- **Horizontal Axis (Sample):** The horizontal axis represents individual samples, numbered from 1 to 25.
- **Data Points:** Each blue dot represents the proportion of defective items in a specific sample. The dots are connected with lines to show trends over time.
- **Control Limits:**
- **Upper Control Limit (UCL):** Represented by the top horizontal red line at 0.4203. This limit helps identify if the process is going out of control on the high side.
- **Lower Control Limit (LCL):** Represented by the bottom horizontal red line at 0.0583. This limit helps identify if the process is going out of control on the low side.
- **Center Line (P):** The green line at 0.2393 represents the average proportion of defective items across all samples.
The chart allows users to observe the performance of the process over the 25 samples. Ideally, all data points should fall within the control limits. If any point lies outside these limits, it may indicate a variation that needs investigation.
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