In: Statistics and Probability
S6.6 Sampling four pieces of precision cut wire( to be used in computer assembly) every hour for past 24 hours has produced the following results:
| hour | xbar | R | HOUR | XBAR | R | 
| 1 | 3.25CM | 0.71CM | 13 | 3.11CM | 0.85CM | 
| 2 | 3.10 | 1.18 | 14 | 2.83 | 1.31 | 
| 3 | 3.22 | 1.43 | 15 | 3.12 | 1.06 | 
| 4 | 3.39 | 1.26 | 16 | 2.84 | 0.50 | 
| 5 | 3.07 | 1.17 | 17 | 2.86 | 1.43 | 
| 6 | 2.86 | 0.32 | 18 | 2.74 | 1.29 | 
| 7 | 3.05 | 0.53 | 19 | 3.41 | 1.61 | 
| 8 | 2.65 | 1.13 | 20 | 2.89 | 1.09 | 
| 9 | 3.02 | 0.71 | 21 | 2.65 | 1.08 | 
| 10 | 2.85 | 1.33 | 22 | 3.28 | 0.46 | 
| 11 | 2.83 | 1.17 | 23 | 2.94 | 1.58 | 
| 12 | 2.97 | 0.40 | 24 | 2.64 | 0.97 | 
Develop appropriate control charts and determine whether there is any cause for concern in the cutting process. Plot the information and look for patterns.