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 were obtained.Ounces of Caulking Per Tube Tube NumberSample123456781234567.988.337.898.247.878.138.348.227.778.188.138.148.028.087.917.837.928.117.948.518.048.057.998.138.448.418.007.908.108.147.688.287.898.167.818.127.818.097.937.978.148.138.118.168.098.077.888.14a. 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.

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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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 were obtained.

Ounces of Caulking Per Tube
	Tube Number
Sample	1	2	3	4	5	6	7	8
1 2 3 4 5 6	7.98 8.33 7.89 8.24 7.87 8.13	8.34 8.22 7.77 8.18 8.13 8.14	8.02 8.08 7.91 7.83 7.92 8.11	7.94 8.51 8.04 8.05 7.99 8.13	8.44 8.41 8.00 7.90 8.10 8.14	7.68 8.28 7.89 8.16 7.81 8.12	7.81 8.09 7.93 7.97 8.14 8.13	8.11 8.16 8.09 8.07 7.88 8.14

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.

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