Problem:
The Canine Gourmet Company produces delicious dog treats for canine with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packed is 45 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically select 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.
Required:
Question 1) Design and R- and X- bar chart for this process.
Question 2) The results from the last five samples of 10 packets are: (sample, x-bar, R) 1,44,9. 2,40,2. 3,46,5, 4,39,8. 5,48,3. is the process in control? Explain.
Solve the given numerical problem and illustrate step by step calculation.