The Bird Food Company of America produces bird seed. 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.
The results from the last 5 samples of 10 packets are:
Sample |
x ¯ |
R |
---|---|---|
1 |
44 |
9 |
2 |
40 |
2 |
3 |
46 |
5 |
4 |
39 |
8 |
5 |
48 |
3 |
a. Draw an R- and an x-bar chart for this process.
b. Is the process in control? Explain.
Using the above formulas
b) Process is in control as all points are witin the control limits in both charts.
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