Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12, Problem 51AP
Summary Introduction
Interpretation:
Proportion of points on chart would fall outside after the shift.
Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample
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Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the
manufacturing process. The company collects five samples, each containing six packs of pasta. Below is the sample
data, but the standard deviation of the process output is unknown. If an R chart is created using three-sigma limits
(i.e., z = 3) to monitor the variability of products, what would be the upper control limit for this R chart?
Sample 1
Sample 2
Sample 3
Pack 1
452.3
451.6
448.6
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454.7
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9.328
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13.427
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452.8
451.2
455.6
451.7
453.4
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456
454.6
456.5
451
456.7
Pack 4
457.2
455.3
451.9
452.6
456.3
Pack 5
457.8
452.2
455.6
454.7
452.4
Pack 6
451.8
451.9
448.3
458.4
456
63. X control charts are used to maintain control of the manufacture of the cases used to
house a generic brand of personal computer. Separate charts are maintained for length,
width, and height. The length chart has UCL = 20.5 inches, LCL = 19.5 inches, and a
target value of 20 inches. This chart is based on using subgroups of size 4 and three-
sigma limits. However, the customer's specifications require that the target length
should be 19.75 inches with a tolerance of ±0.75 inch. What percentage of the
cases shipped will fall outside the customer's specifications?
For small samples, R chart is relatively sensitive to changes in process standard deviation.
False
True
Chapter 12 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 12.1 - Prob. 2PCh. 12.1 - Prob. 3PCh. 12.1 - Prob. 4PCh. 12.1 - Prob. 5PCh. 12.1 - Prob. 6PCh. 12.2 - Prob. 7PCh. 12.2 - Prob. 8PCh. 12.2 - Prob. 9PCh. 12.2 - Prob. 10PCh. 12.2 - Prob. 11P
Ch. 12.2 - Prob. 12PCh. 12.2 - Prob. 13PCh. 12.3 - Prob. 14PCh. 12.3 - Prob. 15PCh. 12.3 - Prob. 16PCh. 12.3 - Prob. 17PCh. 12.4 - Prob. 18PCh. 12.4 - Prob. 19PCh. 12.4 - Prob. 20PCh. 12.4 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Prob. 24PCh. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.9 - Prob. 29PCh. 12.9 - Prob. 30PCh. 12.9 - Prob. 31PCh. 12.9 - Prob. 32PCh. 12.9 - Prob. 33PCh. 12.10 - Prob. 34PCh. 12.10 - Prob. 35PCh. 12.10 - Prob. 37PCh. 12.10 - Prob. 38PCh. 12.10 - Prob. 39PCh. 12.10 - Prob. 40PCh. 12.11 - Prob. 41PCh. 12.11 - Prob. 42PCh. 12.11 - Prob. 43PCh. 12.11 - Prob. 44PCh. 12.12 - Prob. 46PCh. 12.12 - Prob. 47PCh. 12.12 - Prob. 48PCh. 12 - Prob. 49APCh. 12 - Prob. 50APCh. 12 - Prob. 51APCh. 12 - Prob. 52APCh. 12 - Prob. 53APCh. 12 - Prob. 54APCh. 12 - Prob. 55APCh. 12 - Prob. 57APCh. 12 - Prob. 58APCh. 12 - Prob. 59APCh. 12 - Prob. 60APCh. 12 - Prob. 61APCh. 12 - Prob. 62APCh. 12 - Prob. 63APCh. 12 - Prob. 64APCh. 12 - Prob. 65APCh. 12 - Prob. 66APCh. 12 - Prob. 67APCh. 12 - Prob. 68APCh. 12 - Prob. 69APCh. 12 - Prob. 70AP
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