Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 15 ounces (425 ​grams) per box. Each box contains 10 individual​ 1.5-ounce packets. To reduce the chances of shorting the​ customer, product design specifications call for the​ packet-filling process average to be set at 43.5 grams so that the average net weight per box of 10 packets will be 435 grams. Tolerances are set for the box to weigh 435 plus or minus 11 grams. The standard deviation for the​ packet-filling process is 1.02grams. The target process capability ratio is 1.33. One​ day, the ​packet-filling process average weight drifts down to 43.0 grams. Is the packaging process​ capable? Is an adjustment​ needed? Since the process capability​ index, Cpk is the process is not capable or is capable.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 15 ounces (425 ​grams) per box. Each box contains 10 individual​ 1.5-ounce packets. To reduce the chances of shorting the​ customer, product design specifications call for the​ packet-filling process average to be set at 43.5 grams so that the average net weight per box of 10 packets will be 435 grams. Tolerances are set for the box to weigh 435 plus or minus 11 grams. The standard deviation for the​ packet-filling process is 1.02grams. The target process capability ratio is 1.33. One​ day, the ​packet-filling process average weight drifts down to 43.0 grams. Is the packaging process​ capable? Is an adjustment​ needed?

Since the process capability​ index, Cpk  is the process is not capable or is capable.

 
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