Discuss the below:
Q: 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 43.5 grams. To make sure the process is in control, an inspector at the end of the filling line periodically selects a random box of eight packets and weighs each packet. When the process is in control, the range in weight of each sample has averaged 10 grams.
Design an R-chart and an x-bar chart for this process, to 3
The results from the last five samples of eight packets are:
Sample x-bar R
1 44 15
2 40 10
3 46 12
4 39 8
5 48 17
Is the process in control? Demonstrate by means of X-bar and R charts.
NOTE: You will need the following equations to solve this problem:
X-Bar chart: UCL = x double bar + A2 Rbar
LCL = x double bar - A2 Rbar
R chart: UCL = D4 Rbar
LCL = D3 R bar