Question: 1. Develop 3 sigma level process control charts for monitoring weight of boxes that contain watermelons. You performed samplings over 5 weeks with sample size

1. Develop 3 sigma level process control charts for monitoring weight of boxes that contain watermelons. 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 conclusion.

Week1

20

21

20

19

Week2

21

20

22

21

Week3

21

23

23

25

Week4

24

21

27

24

Week5

30

20

24

26

Factors for 3 Sigma level (page 195 of textbook)

Sample Control Limit Factor Control Limit Factor

Size for Sample Mean for Sample Range

n A2 D3 D4

2 1.880 0 3.267

3 1.023 0 2.575

4 0.729 0 2.282

5 0.577 0 2.116

10 0.308 0.223 1.777

15 0.223 0.348 1.652

20 0.180 0.414 1.586

25 0.153 0.459 1.541

2. 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 weekly survey was conducted for 8 weeks 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.

Week

1

2

3

4

5

6

7

8

complaints

7

6

8

7

2

9

6

3

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