Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weig

Question

Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 15 ounces (425grams) 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±12 grams. The standard deviation for the packet-filling process is 1.02 grams. 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______?

Explanation / Answer

Mean= 425 grams

Std. dev.= 1.02 grams

LSL= (435 -12) grams= 423 grams

USL= (435 +12) grams= 447 grams

Cpk= Min( (425-423)/(3*1.02) , (447-425)/(3*1.02) ) = 0.65

As Cpk < 1 , the process is not capable.

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