In: Statistics and Probability
The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch.
Sample | Tread Wear | ||
---|---|---|---|
1 | 31 | 42 | 28 |
2 | 26 | 18 | 35 |
3 | 25 | 30 | 34 |
4 | 17 | 25 | 21 |
5 | 38 | 29 | 35 |
6 | 41 | 42 | 36 |
7 | 21 | 17 | 29 |
8 | 32 | 26 | 28 |
9 | 41 | 34 | 33 |
10 | 29 | 17 | 30 |
11 | 26 | 31 | 40 |
12 | 23 | 19 | 25 |
13 | 17 | 24 | 32 |
14 | 43 | 35 | 17 |
15 | 18 | 25 | 29 |
16 | 30 | 42 | 31 |
17 | 28 | 36 | 32 |
18 | 40 | 29 | 31 |
19 | 18 | 29 | 28 |
20 | 22 | 34 | 26 |
Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the R chart.
Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.)
UCL = _______
LCL = _______
Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the x chart.
Compute the upper and lower control limits for the x chart. (Round your answers to two decimal places.)
UCL =________
LCL =________