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 44.0 grams so that the average net weight per box of 10 packets will be 440 grams. Tolerances are set for the box to weigh 440±15 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?
Part 2
Since the process capability index, Cpk, is enter your response here, the process ▼(is not capable or is capable). (Enter your response rounded to three decimal places.)
Upper spec limit, USL = = 440 15 = 455 grams per box = 45.5 grams per packet
Lower spec limit, USL = 440-15 = 425 grams per box = 42.5 grams per packet
Average weight, m = 43 grams per packet
Standard deviation, s = 1.02 grams per packet
Capability index, Cpk = MIN{ (USL-m)/3s, (m-LSL)/3s }
= MIN{ (45.5 – 43)/(3*1.02), (43-42.5)/(3*1.02) }
=MIN ( 0.817, 0.163)
MIN = 0.163
= MIN{ (44.4-42.5)/(3*1.02), (42.5-41.6)/(3*1.02) }
Cp value is less than the target value of 1.33, therefore, the packaging process is NOT capable.
Cp value is less than the target value of 1.33, therefore, the packaging process is NOT capable.
USL = 440 15 = 455 gm LSL = 440 – 15= 425 gm Note that the std. dev. of 1.02 grams is for the packet filling process. For the entire box of 10 samples,…View the full answer
