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16. The Oceanside Apparel Company manufactures men's knit shirts. The production process requires material to be cut into large patterned squares, which are then sewn together. If the squares are not the correct length, the final shirt will be either too large or too small. The target length is 36 inches. In order to monitor the cutting process, Oceanside managers took 22 samples of four squares each and measured the lengths. For each sample, they then cal- culated the sample mean and range. Finally, they calcu- lated the average sample mean (36.0 inches) and average range value (1.8 inches) for the 22 samples. Managers felt that these values were acceptable; that is, the process was in control. a. (**) Develop the appropriate control chart(s) to moni- tor the fabric length. b. (**) Using the control chart(s) you developed in part a, plot the following samples. Circle any that appear to be out of control. SAMPLE (n = 4) 1 234 LO 5 MEASUREMENTS (IN INCHES) 36.5 38.2 35.8 37.9 34.8 39.1 37.2 36.7 34.0 35.6 37.3 33.4 32.1 36.1 32.1 36.2 36.2 35.3 34.2 36.1

16. The Oceanside Apparel Company manufactures men's knit shirts. The production process requires material to be cut into large patterned squares, which are then sewn together. If the squares are not the correct length, the final shirt will be either too large or too small. The target length is 36 inches. In order to monitor the cutting process, Oceanside managers took 22 samples of four squares each and measured the lengths. For each sample, they then cal- culated the sample mean and range. Finally, they calcu- lated the average sample mean (36.0 inches) and average range value (1.8 inches) for the 22 samples. Managers felt that these values were acceptable; that is, the process was in control. a. (**) Develop the appropriate control chart(s) to moni- tor the fabric length. b. (**) Using the control chart(s) you developed in part a, plot the following samples. Circle any that appear to be out of control. SAMPLE (n = 4) 1 234 LO 5 MEASUREMENTS (IN INCHES) 36.5 38.2 35.8 37.9 34.8 39.1 37.2 36.7 34.0 35.6 37.3 33.4 32.1 36.1 32.1 36.2 36.2 35.3 34.2 36.1

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
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**Quality Control in Apparel Manufacturing** **Oceanside Apparel Company Case Study** The Oceanside Apparel Company specializes in manufacturing men's knit shirts. A crucial part of their production involves cutting fabric into large patterned squares that are sewn together to create the shirts. The precise measurement of these squares is critical because incorrect sizes result in shirts that are either too large or too small. The company has set a target length of 36 inches for these squares. To ensure accuracy in the cutting process, Oceanside's managers implemented a monitoring system by taking 22 samples, each consisting of four squares, and measuring their lengths. They calculated the mean and range for each sample. From these actions, they determined the average sample mean to be 36.0 inches and the average range to be 1.8 inches. Managers concluded that these metrics indicated a controlled process. ### Tasks: **a.** Develop the appropriate control chart(s) to monitor the fabric length. **b.** Using the control chart(s) from part a, plot the following samples. Identify and circle any samples that seem out of control. **Sample Data**: - **Sample 1:** 37.3, 36.5, 38.2, 36.2 - **Sample 2:** 33.4, 35.8, 37.9, 36.2 - **Sample 3:** 32.1, 34.8, 39.1, 35.3 - **Sample 4:** 36.1, 37.2, 36.7, 34.2 - **Sample 5:** 32.1, 34.0, 35.6, 36.1 ### Additional Guidance: - **Control Charts**: Use control charts (such as X-bar and R charts) to track variations in fabric length. - **Sample Analysis**: Evaluate each sample's mean and range against the established control limits to determine if the process remains in control. By systematically analyzing these measurements, Oceanside Apparel Company can maintain high-quality standards and prevent deviations that could impact the final product.
Transcribed Image Text:**Quality Control in Apparel Manufacturing** **Oceanside Apparel Company Case Study** The Oceanside Apparel Company specializes in manufacturing men's knit shirts. A crucial part of their production involves cutting fabric into large patterned squares that are sewn together to create the shirts. The precise measurement of these squares is critical because incorrect sizes result in shirts that are either too large or too small. The company has set a target length of 36 inches for these squares. To ensure accuracy in the cutting process, Oceanside's managers implemented a monitoring system by taking 22 samples, each consisting of four squares, and measuring their lengths. They calculated the mean and range for each sample. From these actions, they determined the average sample mean to be 36.0 inches and the average range to be 1.8 inches. Managers concluded that these metrics indicated a controlled process. ### Tasks: **a.** Develop the appropriate control chart(s) to monitor the fabric length. **b.** Using the control chart(s) from part a, plot the following samples. Identify and circle any samples that seem out of control. **Sample Data**: - **Sample 1:** 37.3, 36.5, 38.2, 36.2 - **Sample 2:** 33.4, 35.8, 37.9, 36.2 - **Sample 3:** 32.1, 34.8, 39.1, 35.3 - **Sample 4:** 36.1, 37.2, 36.7, 34.2 - **Sample 5:** 32.1, 34.0, 35.6, 36.1 ### Additional Guidance: - **Control Charts**: Use control charts (such as X-bar and R charts) to track variations in fabric length. - **Sample Analysis**: Evaluate each sample's mean and range against the established control limits to determine if the process remains in control. By systematically analyzing these measurements, Oceanside Apparel Company can maintain high-quality standards and prevent deviations that could impact the final product.
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