Question
A Six Sigma expert observes rising complaints in a textile company about cotton fabric, especially concerning its shrinkage. He tries to improve the production process
A Six Sigma expert observes rising complaints in a textile company about cotton fabric, especially concerning its shrinkage. He tries to improve the production process that happens in three shifts daily. He records the shrinkage (in mm) by testing a sample of 5 shirts from every shifts production to understand the process and keep it under control. Based on the customer requirements, the company has set a specification range from 75 to 185. The following table presents 20 samples, each of five pieces produced by this process.
Sample No. | 1 | 2 | 3 | 4 | 5 |
1 | 138.10 | 110.80 | 138.70 | 137.40 | 125.40 |
2 | 149.30 | 142.10 | 105.00 | 134.00 | 92.30 |
3 | 115.90 | 135.60 | 124.20 | 155.00 | 117.40 |
4 | 118.50 | 116.50 | 130.20 | 122.60 | 100.20 |
5 | 108.20 | 123.80 | 117.10 | 142.40 | 150.90 |
6 | 102.80 | 112.00 | 135.00 | 135.00 | 145.80 |
7 | 120.40 | 84.30 | 112.80 | 118.50 | 119.30 |
8 | 132.70 | 151.10 | 124.00 | 123.90 | 105.10 |
9 | 136.40 | 126.20 | 154.70 | 127.10 | 173.20 |
10 | 135.00 | 115.40 | 149.10 | 138.30 | 130.40 |
11 | 139.60 | 127.90 | 151.10 | 143.70 | 110.50 |
12 | 125.30 | 160.20 | 130.40 | 152.40 | 165.10 |
13 | 145.70 | 101.80 | 149.50 | 113.30 | 151.80 |
14 | 138.60 | 139.00 | 131.90 | 140.20 | 141.10 |
15 | 110.10 | 114.60 | 165.10 | 113.80 | 139.60 |
16 | 145.20 | 101.00 | 154.60 | 120.20 | 117.30 |
17 | 125.90 | 135.30 | 121.50 | 147.90 | 105.00 |
18 | 129.70 | 97.30 | 130.50 | 109.00 | 150.50 |
19 | 123.40 | 150.00 | 161.60 | 148.40 | 154.20 |
20 | 144.80 | 138.30 | 119.60 | 151.80 | 142.70 |
Trial control limits are established first and they are revised after making necessary corrections in the process. 10 new samples collected were examined with the revised control limits.
Sample No. | 1 | 2 | 3 | 4 | 5 |
21 | 131.00 | 184.80 | 182.20 | 143.30 | 212.80 |
22 | 181.30 | 193.20 | 180.70 | 169.10 | 174.30 |
23 | 154.80 | 170.20 | 168.40 | 202.70 | 174.40 |
24 | 157.50 | 154.20 | 169.10 | 142.20 | 161.90 |
25 | 216.30 | 174.30 | 166.20 | 155.50 | 184.30 |
26 | 186.90 | 180.20 | 149.20 | 175.20 | 185.00 |
27 | 167.80 | 143.90 | 157.50 | 171.80 | 194.90 |
28 | 178.20 | 186.70 | 142.40 | 159.40 | 167.60 |
29 | 162.60 | 143.60 | 132.80 | 168.90 | 177.20 |
30 | 172.10 | 191.70 | 203.40 | 150.40 | 196.30 |
Further, 10 samples collected were examined for control with the revised control limits established with the first 20 samples.
Sample No. | 1 | 2 | 3 | 4 | 5 |
31 | 131.50 | 143.10 | 118.50 | 103.20 | 121.60 |
32 | 111.00 | 127.30 | 110.40 | 91.00 | 143.90 |
33 | 129.80 | 98.30 | 134.00 | 105.10 | 133.10 |
34 | 145.20 | 132.80 | 106.10 | 131.00 | 99.20 |
35 | 114.60 | 111.00 | 108.80 | 177.50 | 121.60 |
36 | 125.20 | 86.40 | 64.40 | 137.10 | 117.50 |
37 | 145.90 | 109.50 | 84.90 | 129.80 | 110.60 |
38 | 123.60 | 114.00 | 135.40 | 83.20 | 107.60 |
39 | 85.80 | 156.30 | 119.70 | 96.20 | 153.00 |
40 | 107.40 | 148.70 | 127.40 | 125.00 | 127.50 |
Prepare your analysis based on the above data and solve it with answer
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