Develop 3 sigma level process control charts for monitoring weight of boxes that contain apples. You performed samplings over 5 weeks with sample size of 4 (n = 4). Draw variable control charts (mean and range). Calculate and show values for UCL, CL, and LCL using the factors provided in below table. Discuss your graphs and make your conclusion.

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1. Develop 3 sigma level process control charts for monitoring weight of boxes that contain
apples. You performed samplings over 5 weeks with sample size of 4 (n = 4). Draw variable
control charts (mean and range). Calculate and show values for UCL, CL, and LCL using the
factors provided in below table. Discuss your graphs and make your conclusion.
Week1
Week2
Week3
Week4
Week5
week
# of complaint
Week
complaints
1
1
1
7
2
2
2
6
20
21
21
24
30
3
Sample
Size
8
n
2
3
4
5
10
15
20
25
3
3
21
20
23
21
20
4
7
A2
Control Limit Factor
for Sample Mean
1.880
1.023
0.729
0.577
0.308
0.223
0.180
0.153
4
4
20
22
23
27
24
Factors for 3 Sigma level
5
2
D3
0
0
0
0
2. The number of monthly customer complaint at a hotel is monitored. Develop three sigma
level control chart using the data below. Calculate and show values for UCL, CL, and LCL.
Draw the control chart. Is everything under control? Discuss your conclusion. You will have to
choose the proper control chart.
0.223
0.348
0.414
0.459
5
5
19
21
25
24
26
3. One location of a city was selected as a location for electrical switch yard. Fifty (50)
residential homes that are located near the potential switch yard are concerned about this. A
monthly survey was conducted for 8 months, and result is tabulated below. Draw a 3-sigma
level attribute control chart to analyze the situation. Calculate and show values for UCL, CL,
and LCL. Discuss your conclusion.
6
9
Control Limit Factor
for Sample Range
D4
3.267
7
6
2.575
2.282
2.116
1.777
1.652
1.586
1.541
8
3
Transcribed Image Text:1. Develop 3 sigma level process control charts for monitoring weight of boxes that contain apples. You performed samplings over 5 weeks with sample size of 4 (n = 4). Draw variable control charts (mean and range). Calculate and show values for UCL, CL, and LCL using the factors provided in below table. Discuss your graphs and make your conclusion. Week1 Week2 Week3 Week4 Week5 week # of complaint Week complaints 1 1 1 7 2 2 2 6 20 21 21 24 30 3 Sample Size 8 n 2 3 4 5 10 15 20 25 3 3 21 20 23 21 20 4 7 A2 Control Limit Factor for Sample Mean 1.880 1.023 0.729 0.577 0.308 0.223 0.180 0.153 4 4 20 22 23 27 24 Factors for 3 Sigma level 5 2 D3 0 0 0 0 2. The number of monthly customer complaint at a hotel is monitored. Develop three sigma level control chart using the data below. Calculate and show values for UCL, CL, and LCL. Draw the control chart. Is everything under control? Discuss your conclusion. You will have to choose the proper control chart. 0.223 0.348 0.414 0.459 5 5 19 21 25 24 26 3. One location of a city was selected as a location for electrical switch yard. Fifty (50) residential homes that are located near the potential switch yard are concerned about this. A monthly survey was conducted for 8 months, and result is tabulated below. Draw a 3-sigma level attribute control chart to analyze the situation. Calculate and show values for UCL, CL, and LCL. Discuss your conclusion. 6 9 Control Limit Factor for Sample Range D4 3.267 7 6 2.575 2.282 2.116 1.777 1.652 1.586 1.541 8 3
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