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A company manufactures batteries for smart phones. Listed below are numbers of defects in batches of 200 randomly selected in each of 15 consecutive days of production. a. Use the given process data to construct a control chart for p. b. Use the three out-of-control criteria and determine whether the process is within statistical control. c. What action should be taken? 12 10 13 15 a. Choose the correct control chart. O A. Proportion 0.12 fro 0.00- Sample TUCL 10 15 O B. Proportion 0.12- 11 11 c. Choose the correct answer below. Im Sample 15 16 ... Q 7 10 15 7 17 5 19 C. Proportion 0.12 fro O Sample TUCL b. Using the three out-of-control criteria, is the statistical process within control? LCL 15 D. Proportion 0.12- 0.00- 1 Sample L UCL 15 OA. No, because there are eight or more consecutive points all above or all below the centerline. B. No, because there is at least one point lying outside of the region between the upper and lower control limits. C. Yes, because none of the criteria are satisfied. OD. No, because there is a pattern, trend, or cycle that is obviously not random. O D. The manufacturer should proceed as before, because the number of defects is decreasing and the production process appears to be improving. OA. The manufacturer should proceed as before, because the number of defects is increasing. B. The manufacturer should review their production process and attempt to remedy the cause of increasing proportions of defects. OC. The manufacturer should review their production process and attempt to remedy the cause of increasing variation in the proportions of defects.

A company manufactures batteries for smart phones. Listed below are numbers of defects in batches of 200 randomly selected in each of 15 consecutive days of production. a. Use the given process data to construct a control chart for p. b. Use the three out-of-control criteria and determine whether the process is within statistical control. c. What action should be taken? 12 10 13 15 a. Choose the correct control chart. O A. Proportion 0.12 fro 0.00- Sample TUCL 10 15 O B. Proportion 0.12- 11 11 c. Choose the correct answer below. Im Sample 15 16 ... Q 7 10 15 7 17 5 19 C. Proportion 0.12 fro O Sample TUCL b. Using the three out-of-control criteria, is the statistical process within control? LCL 15 D. Proportion 0.12- 0.00- 1 Sample L UCL 15 OA. No, because there are eight or more consecutive points all above or all below the centerline. B. No, because there is at least one point lying outside of the region between the upper and lower control limits. C. Yes, because none of the criteria are satisfied. OD. No, because there is a pattern, trend, or cycle that is obviously not random. O D. The manufacturer should proceed as before, because the number of defects is decreasing and the production process appears to be improving. OA. The manufacturer should proceed as before, because the number of defects is increasing. B. The manufacturer should review their production process and attempt to remedy the cause of increasing proportions of defects. OC. The manufacturer should review their production process and attempt to remedy the cause of increasing variation in the proportions of defects.

MATLAB: An Introduction with Applications
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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**Educational Content on Control Charts and Process Management** A company manufactures batteries for smartphones. Listed below are numbers of defects in batches of 200 randomly selected in each of 15 consecutive days of production. **Data:** - 12, 10, 13, 15, 10, 11, 11, 16, 7, 10, 15, 7, 7, 5, 19 ### Task Descriptions: **a. Construct a Control Chart:** Choose the correct control chart from the options A, B, C, and D. A control chart is a graphical representation used to monitor a process over time. It displays the variations in the process and helps in identifying whether the process is in control. - **Control Chart A**: Proportion fluctuates around the centerline, but some points touch the upper or lower control limits. - **Control Chart B**: Proportion stays mostly steady with minimal control limit breaches. - **Control Chart C**: More variability is present with visible shifts above or below the centerline. - **Control Chart D**: Consistent variation is visible with several points outside control limits. **b. Evaluate Statistical Control:** Determine whether the process is within statistical control by applying three out-of-control criteria: 1. Eight or more consecutive points either all above or all below the centerline. 2. At least one point lying outside the region between the upper (UCL) and lower control limits (LCL). 3. Detecting a pattern, trend, or cycle that is not random. **Options:** - A: No, because there are eight or more consecutive points all above or all below the centerline. - B: No, because there is at least one point lying outside of the region between the upper and lower control limits. - C: Yes, because none of the criteria are satisfied. - D: No, because there is a pattern, trend, or cycle that is obviously not random. **c. Determine Actions:** Choose the correct action based on the control chart analysis: - A: Continue as before due to increased defects. - B: Review production process and address cause of increased defect proportions. - C: Review production process and reduce variation in defect proportions. - D: Continue as defects decrease and production improves. **Conclusion:** By understanding control charts and statistical process control, manufacturers can effectively monitor and improve their production processes, ensuring high-quality products
Transcribed Image Text:**Educational Content on Control Charts and Process Management** A company manufactures batteries for smartphones. Listed below are numbers of defects in batches of 200 randomly selected in each of 15 consecutive days of production. **Data:** - 12, 10, 13, 15, 10, 11, 11, 16, 7, 10, 15, 7, 7, 5, 19 ### Task Descriptions: **a. Construct a Control Chart:** Choose the correct control chart from the options A, B, C, and D. A control chart is a graphical representation used to monitor a process over time. It displays the variations in the process and helps in identifying whether the process is in control. - **Control Chart A**: Proportion fluctuates around the centerline, but some points touch the upper or lower control limits. - **Control Chart B**: Proportion stays mostly steady with minimal control limit breaches. - **Control Chart C**: More variability is present with visible shifts above or below the centerline. - **Control Chart D**: Consistent variation is visible with several points outside control limits. **b. Evaluate Statistical Control:** Determine whether the process is within statistical control by applying three out-of-control criteria: 1. Eight or more consecutive points either all above or all below the centerline. 2. At least one point lying outside the region between the upper (UCL) and lower control limits (LCL). 3. Detecting a pattern, trend, or cycle that is not random. **Options:** - A: No, because there are eight or more consecutive points all above or all below the centerline. - B: No, because there is at least one point lying outside of the region between the upper and lower control limits. - C: Yes, because none of the criteria are satisfied. - D: No, because there is a pattern, trend, or cycle that is obviously not random. **c. Determine Actions:** Choose the correct action based on the control chart analysis: - A: Continue as before due to increased defects. - B: Review production process and address cause of increased defect proportions. - C: Review production process and reduce variation in defect proportions. - D: Continue as defects decrease and production improves. **Conclusion:** By understanding control charts and statistical process control, manufacturers can effectively monitor and improve their production processes, ensuring high-quality products
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