A quality control engineer monitors the quality of a cylinder production line. He regularly selects a sample of 5 units and measures the diameters. The specification requires the diameter to be 6 inches plus/minus 0.1 inch. The following is a record of the measurements. Is the production process in control? Please use X bar and R charts to make an assessment.

Sample	item 1	item 2	item 3	item 4	item 5
1	6.10	6.15	5.35	5.98	5.95
2	6.35	6.02	6.20	6.10	5.70
3	5.85	5.90	6.20	6.12	6.08
4	6.00	5.80	5.70	6.04	6.17
5	6.15	5.60	6.25	5.99	6.01
6	6.13	6.05	5.89	6.00	5.87
7	5.88	6.03	5.76	6.1 3	6.00
8	6.12	5.45	6.15	6.04	5.91

Please solve all the problems, of the 8 sample add the charts for my better understanding

NB: Do not use AI tool as it will not help my understanding and is not sometime accurate with calculations and does not provide charts

Thank you