Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 12 ounces (340grams) per box. Each box contains 8 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 8 packets will be 352 grams. Tolerances are set for the box to weigh 352 plus or minus12 grams. The standard deviation for the packet-filling process is 1.03 grams. The target process capability ratio is 1.33. One day, the packet-filling process average weight drifts down to 43.5 grams. Is the packaging process capable? Is an adjustment needed? Part 2 Since the process capability index, Upper C Subscript pk, is , the process Is not capable or is capable. (Enter your response rounded to three decimal places.)
Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 12 ounces (340grams) per box. Each box contains 8 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 8 packets will be 352 grams. Tolerances are set for the box to weigh 352 plus or minus12 grams. The standard deviation for the packet-filling process is 1.03 grams. The target process capability ratio is 1.33. One day, the packet-filling process average weight drifts down to 43.5 grams. Is the packaging process capable? Is an adjustment needed?
Part 2
Since the process capability index, Upper C Subscript pk, is , the process Is not capable or is capable.
Given,
Mean = 340 gms
Weight of box = 352 gms
Tolerance value = 12 gms
Sample size n = 8
Standard deviation for filling process = 1.03
Standard deviation for entire 8 samples = 1.03*SQRT(8) = 2.913
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