The production manager at Sunny Soda, Inc., is interested in tracking the quality of the company’s 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on the label shows 12 ounces as the serving size. The design standard for the product calls for a fill level of 12.00 ± 0.10 ounces. The manager collected the following sample data (in fluid ounces per bottle) on the production process: Observation Sample 1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 12.00 11.91 11.89 12.10 12.08 11.94 12.09 12.01 12.00 11.92 11.91 12.01 11.98 12.02 12.00 11.97 11.94 12.02 12.09 11.92 11.98 12.00 12.04 11.96 11.94 11.99 12.00 11.99 12.00 12.05 12.10 12.10 11.97 12.05 12.12 12.06 12.00 11.99 11.97 12.09 12.05 12.06 12.06 12.05 12.01 12.08 11.96 11.99 11.95 12.05 12.08 12.03 11.95 12.03 12.00 12.10 11.97 12.03 11.95 11.97 a. Are the process average and range in statistical control?b. Is the process capable of meeting the design standard at four-sigma quality? Explain.
The
| Observation | ||||
| Sample | 1 | 2 | 3 | 4 |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |
12.00 11.91 11.89 12.10 12.08 11.94 12.09 12.01 12.00 11.92 11.91 12.01 11.98 12.02 12.00 |
11.97 11.94 12.02 12.09 11.92 11.98 12.00 12.04 11.96 11.94 11.99 12.00 11.99 12.00 12.05 |
12.10 12.10 11.97 12.05 12.12 12.06 12.00 11.99 11.97 12.09 12.05 12.06 12.06 12.05 12.01 |
12.08 11.96 11.99 11.95 12.05 12.08 12.03 11.95 12.03 12.00 12.10 11.97 12.03 11.95 11.97 |
a. Are the process average and range in statistical control?
b. Is the process capable of meeting the design standard at four-sigma quality? Explain.
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