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10 November, 16:55

Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 12 ounces (340 grams) 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 43.5 grams so that the average net weight per box of 8 packets will be 348 grams. Tolerances are set for the box to weigh 348plus or minus13 grams. The standard deviation for the packet-filling process is 1.03 grams. The target process capability ratio is 1.67. One day, the packet-filling process average weight drifts down to 42.5 grams. Is the packaging process capable? Is an adjustment needed?

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  1. 10 November, 18:55
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    Cp = tolerance range/process range

    = (upper specification limit - lower specification limit) / 6*sigma

    = 354-334/6*1.02

    = 3.27

    Cp>1.33, the process is capable

    upper specification limit (usl) = 354gms

    lower specification limit (lsl) = 334gms

    Target Process capability is 1.33

    Packet filling process average weight = 42 gms.

    Average weight of box = 8*42 = 336gms

    Cpk=min. [usl-mu/3*sigma, mu-lsl/3*sigms]

    = min.[354-336/3*1.02,336-334/3*1.02]

    = min.[5.88,0.65]

    =0.65

    Process variability is too large therefore adjustment is required
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