A wood shop produces processed wood chips with high precision. The shop wants know whether the process is still controlled using statistical process methods control. The shop owner takes measurements against the Length with 5 samples every day for 10 consecutive days with the results according to the table below. day sample 1 sample 2 sample 3 sample 4 sample 5 1 146 147 145 141 144 2 139 134 135 135 146 3 135 150 130 146 143 4 142 136 145 141 133 5 142 132 146
A wood shop produces processed wood chips with high precision. The shop wants know whether the process is still controlled using statistical process methods control. The shop owner takes measurements against the Length with 5 samples every day for 10 consecutive days with the results according to the table below.
| day | sample 1 | sample 2 | sample 3 | sample 4 | sample 5 |
| 1 | 146 | 147 | 145 | 141 | 144 |
| 2 | 139 | 134 | 135 | 135 | 146 |
| 3 | 135 | 150 | 130 | 146 | 143 |
| 4 | 142 | 136 | 145 | 141 | 133 |
| 5 | 142 | 132 | 146 | 134 | 149 |
| 6 | 143 | 143 | 141 | 145 | 144 |
| 7 | 134 | 146 | 144 | 141 | 144 |
| 8 | 133 | 139 | 146 | 140 | 145 |
| 9 | 140 | 135 | 135 | 133 | 146 |
| 10 | 136 | 132 | 130 | 146 | 145 |
From the data mentioned above, the shop owner asks you as a quality expert to
determine whether the production process is still under control with regard to
quality.
a. Calculate the LCL-X and UCL-X from these measurements and make a sketch of the XChart
b. Calculate the LCL-R and UCL-R from these measurements and draw an RChart sketch
c. Analyze whether the process is still controlled or not. Explain your reasons.
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