the Canine Gourmet Company produces delicious dog treats for canines with discri
ID: 3044019 • Letter: T
Question
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 43 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 8 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 5 grams. a. Design an R- and X-bar chart for this process. b. The results from the last five samples of 8 packets are: Sample X-bar R 1 42-6 41-2 45-8 41-4 41-9 Is the process in control? Explain.
The process variability is in or out of statistical control and the process average is in or out of statistical control. Therefore, the entire process is in or out of controls.
Explanation / Answer
mu=43 gram
n=8 packets
range in weight of each sample=R=5 and R-bar=5
X-bar chart is-
UCl=mu+A2*R-bar=43+(.373*5)=44.865
CL=mu=43
LCl==mu-A2*R-bar=43-(.373*5)=41.135
R-chart is-
UCL=D4*R-bar=1.864*5=9.32
CL=R-bar=5
LCL=D3*R-bar=.68
five samples of 8 packets for X-bar chart is 42,41 ,45, 41 ,41. four smaples lie outside control limits of X-bar chart. so process is not in control.
five samples of 8 packets for R-bar chart is 6,2,8,4,9. all smaples lie between control limits of R-chart. so process is in control.
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