1. An inspector wants to develop 3-sigma level control charts (below table provides factors for 3 sigma level) for the weight of firewood that comes in a bag. Due to uneven shape of wood, weight of bag varies a lot. Draw X-bar chart and R-chart. For both charts, calculate UCL, CL and LCL by using the factors provided in the table. Is the process in control? Discuss your conclusion. Weight in pounds from 4 days with sample size of 3 (3 observations each time, n-3) are: Day 1

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1. An inspector wants to develop 3-sigma level control charts (below table provides factors for 3
sigma level) for the weight of firewood that comes in a bag. Due to uneven shape of wood,
weight of bag varies a lot.
Draw X-bar chart and R-chart. For both charts, calculate UCL, CL and LCL by using the
factors provided in the table. Is the process in control? Discuss your conclusion.
Weight in pounds from 4 days with sample size of 3 (3 observations each time, n-3) are:
Day 1
Day 4
23
25
22
Day 2
222
24
28
24
1
Day
3
26
28
30
ted States) Accessibility: Investigate
28
822
WIN!
32
32
Sample
Site
n
2
3
4
5
10
15
20
25
Factors for 3 Sigma level
Control Limit Factor
for Sample Mean
A2
1,880
1.023
0.729
0.577
0.308
0.223
0.180
0.153
D3
0
0
0
0
0.223
0.348
0.414
0.459
Control Limit Factor
for Sample Range
D4
3.267
2.575
2.282
2.116
1.777
1.652
1.586
1541
Facue
Transcribed Image Text:1. An inspector wants to develop 3-sigma level control charts (below table provides factors for 3 sigma level) for the weight of firewood that comes in a bag. Due to uneven shape of wood, weight of bag varies a lot. Draw X-bar chart and R-chart. For both charts, calculate UCL, CL and LCL by using the factors provided in the table. Is the process in control? Discuss your conclusion. Weight in pounds from 4 days with sample size of 3 (3 observations each time, n-3) are: Day 1 Day 4 23 25 22 Day 2 222 24 28 24 1 Day 3 26 28 30 ted States) Accessibility: Investigate 28 822 WIN! 32 32 Sample Site n 2 3 4 5 10 15 20 25 Factors for 3 Sigma level Control Limit Factor for Sample Mean A2 1,880 1.023 0.729 0.577 0.308 0.223 0.180 0.153 D3 0 0 0 0 0.223 0.348 0.414 0.459 Control Limit Factor for Sample Range D4 3.267 2.575 2.282 2.116 1.777 1.652 1.586 1541 Facue
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