A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the companys production process.

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A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the company’s production process. There has been concern relative to the quality of the operation in accurately filling the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16.00 ±0.30. 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 16.00 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

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

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

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