Question & Answer: The Canine Gourmet Company produces delicious dog treats for canines with…..

9. The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 45 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 10 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 6 grams. (Hint: use process target when calculating the average weight and the range, as you are trying to inspect whether your current production meets the target or not) Design an R- and an x-chart for this process. The results from the last 5 samples of 10 packets are: a. b. New Data Weight 44 39 44 45 48 39 44 45 48 44 40 39 40 41 40 39 40 41 40 40 46 46 49 44 45 46 49 44 45 46 39 43 35 38 40 43 35 38 40 39 48 49 48 46 49 49 48 46 49 48 Sample Draw the required charts. Is the process in control? Explain

The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 45 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 10 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 6 grams. a. Design an R- and an x-chart for this process. b. The results from the last 5 samples of 10 packets are: c. Draw the required charts. Is the process in control? Explain.

Expert Answer

Answer

Sample	Weight										Average	Range
1	44	39	44	45	48	39	44	45	48	44	44	9
2	40	39	40	41	40	39	40	41	40	40	40	2
3	46	46	49	44	45	46	49	44	45	46	46	5
4	39	43	35	38	40	43	35	38	40	39	39	8
5	48	49	48	46	49	49	48	46	49	48	48	3
X-double bar , R-Bar											43.4	5.4

Process average weight per packet = 45 grams

X-double bar = 43.4 grams

R-bar = 5.4

Sample 3 and sample 5 are out of control. Rest all samples are in control. Since the process average weight is 45, the x-bar values of sample 3 is 46 and sample 5 is 48. These two are out of control and rest are in control.

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