Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Concept explainers

Statistical Process Control
The use of statistical methods to observe and manage a process to make sure that it operates at its full potential and thus produce a confirming product is called Statistical Process Control.
Question

Webster Chemical Company produces mastics and caulking
for the construction industry. The product is blended in
large mixers and then pumped into tubes and capped.
Management is concerned about whether the filling process
for tubes of caulking is in statistical control. The process
should be centered on 8 ounces per tube. Several samples
of eight tubes were taken, each tube was weighed, and the
weights in Table 3.3 were obtained.

a. Assume that only six samples are sufficient and develop
the control charts for the mean and the range.
b. Plot the observations on the control chart and comment
on your findings.

TABLE 3.3 OUNCES OF CAULKING PER TUBE TUBE NUMBER 1 2 3 4 5 7.98 8.34 8.02 7.94 8.44 Sample 6 7 8 1 7.68 7.81 8.11 8.33 8.22 8.08 8.51 8.41 8.28 8.09 8.16 7.89 7.77 7.91 8.04 8.00 7.89 7.93 8.09 8.24 8.18 7.83 8.05 7.90 8.16 7.97 8.07 7.87 8.13 7.92 7.99 8.10 7.81 8.14 7.88 8.13 8.14 8.11 8.13 8.14 8.12 8.13 8.14 2. 3. 4)
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Transcribed Image Text:TABLE 3.3 OUNCES OF CAULKING PER TUBE TUBE NUMBER 1 2 3 4 5 7.98 8.34 8.02 7.94 8.44 Sample 6 7 8 1 7.68 7.81 8.11 8.33 8.22 8.08 8.51 8.41 8.28 8.09 8.16 7.89 7.77 7.91 8.04 8.00 7.89 7.93 8.09 8.24 8.18 7.83 8.05 7.90 8.16 7.97 8.07 7.87 8.13 7.92 7.99 8.10 7.81 8.14 7.88 8.13 8.14 8.11 8.13 8.14 8.12 8.13 8.14 2. 3. 4)
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