Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Struggling with Problem 4

**Quality Control Analysis for Ultra Clean Dishwashing Company**

A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the company’s production process. There have been concerns regarding the accuracy of filling the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16.00 ± 0.30 ounces. The company collected the following sample data on the production process:

**Observations**

| Sample | 1    | 2    | 3     | 4    |
|--------|------|------|-------|------|
| 1      | 16.41| 16.10| 15.85 | 15.76|
| 2      | 15.95| 16.10| 16.10 | 15.81|
| 3      | 15.90| 16.00| 16.004| 15.90|
| 4      | 16.10| 16.21| 15.50 | 15.95|
| 5      | 15.80| 16.25| 16.34 | 16.41|
| 6      | 15.40| 15.49| 15.70 | 15.92|
| 7      | 16.33| 16.21| 15.99 | 16.00|
| 8      | 15.50| 15.90| 16.10 | 16.03|
| 9      | 16.15| 16.21| 16.05 | 16.00|
| 10     | 15.80| 16.43| 16.50 | 15.97|

**Questions for Analysis**

a. Are the process mean and range in statistical control?

b. Do you think this process is capable of meeting the design standard?

These observations will assist in evaluating the consistency and capability of the production process in maintaining the desired quality standard.
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Transcribed Image Text:**Quality Control Analysis for Ultra Clean Dishwashing Company** A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the company’s production process. There have been concerns regarding the accuracy of filling the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16.00 ± 0.30 ounces. The company collected the following sample data on the production process: **Observations** | Sample | 1 | 2 | 3 | 4 | |--------|------|------|-------|------| | 1 | 16.41| 16.10| 15.85 | 15.76| | 2 | 15.95| 16.10| 16.10 | 15.81| | 3 | 15.90| 16.00| 16.004| 15.90| | 4 | 16.10| 16.21| 15.50 | 15.95| | 5 | 15.80| 16.25| 16.34 | 16.41| | 6 | 15.40| 15.49| 15.70 | 15.92| | 7 | 16.33| 16.21| 15.99 | 16.00| | 8 | 15.50| 15.90| 16.10 | 16.03| | 9 | 16.15| 16.21| 16.05 | 16.00| | 10 | 15.80| 16.43| 16.50 | 15.97| **Questions for Analysis** a. Are the process mean and range in statistical control? b. Do you think this process is capable of meeting the design standard? These observations will assist in evaluating the consistency and capability of the production process in maintaining the desired quality standard.
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