Question: QUESTION 4 Control charts are to be established on a certain dimension part, measured in millimetres. Data were collected in subgroup sizes of 4 and
QUESTION 4
Control charts are to be established on a certain dimension part, measured in millimetres. Data were collected in subgroup sizes of 4 and are given below:
| Date | Time | X1 | X2 | X3 | X4 |
| 11-Mar-21 | 08h00 | 24 | 23 | 24 | 21 |
| 11h00 | 38 | 24 | 25 | 26 | |
| 14h00 | 25 | 26 | 27 | 22 | |
| 17h00 | 29 | 22 | 25 | 21 | |
| 19h00 | 31 | 20 | 27 | 25 | |
| 12-Mar-21 | 08h00 | 19 | 29 | 30 | 25 |
| 11h00 | 26 | 24 | 24 | 25 | |
| 14h00 | 22 | 27 | 21 | 22 | |
| 17h00 | 18 | 23 | 25 | 19 | |
| 19h00 | 23 | 22 | 28 | 32 | |
| 13-Mar-21 | 08h00 | 22 | 20 | 29 | 30 |
| 11h00 | 22 | 21 | 22 | 26 | |
| 14h00 | 28 | 29 | 24 | 25 | |
| 17h00 | 25 | 32 | 21 | 21 | |
| 19h00 | 28 | 31 | 24 | 22 | |
| 14-Mar-21 | 08h00 | 15 | 25 | 29 | 28 |
| 11h00 | 18 | 28 | 29 | 25 | |
| 14h00 | 20 | 25 | 28 | 20 | |
| 17h00 | 19 | 24 | 31 | 31 | |
| 19h00 | 26 | 24 | 32 | 30 |
4.1. What is the process mean? 4.2. What is the process standard deviation (use both methods)? 4.3. Construct a three-sigma control chart for and R charts. 4.4. Construct a three-sigma control chart for and S charts. 4.5. What conclusions can you draw about the ability of the process
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