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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
Problem 1P
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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 36.2 35.8 37.9 36.2 34.8 39.1 35.3 37.2 36.7 34.2 34.0 35.6 36.1 37.3 33.4 32.1 36.1 32.1
Transcribed Image Text: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 36.2 35.8 37.9 36.2 34.8 39.1 35.3 37.2 36.7 34.2 34.0 35.6 36.1 37.3 33.4 32.1 36.1 32.1
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