1. Calculate the control charts (UCL, CL, and LCL) for each operator-machine combination separately. this needs to be done for both x-bar (average) and range charts. What conclusions can you draw from the charts about each operator-machine combination?

Operator Machine 1

Sample	Observations 1-5	Xbar Avg of all 5	Range Max-min
1	0.500	0.498	0.502	0.499	0.503	0.5004	0.005
2	0.496	0.497	0.500	0.502	0.499	0.4988	0.006
3	0.504	0.503	0.503	0.496	0.495	0.5002	0.009
4	0.503	0.501	0.498	0.497	0.500	0.4998	0.006
5	0.500	0.502	0.503	0.498	0.495	0.4996	0.008
6	0.505	0.496	0.504	0.503	0.502	0.502	0.009
					Totals:	0.5001	0.0072

Operator Machine 2

Sample	Observations 1-5	Xbar Avg of all 5	Range Max-min
1	0.495	0.497	0.495	0.502	0.500	0.4978	0.007
2	0.505	0.510	0.503	0.511	0.504	0.5066	0.008
3	0.504	0.503	0.502	0.502	0.501	0.5024	0.003
4	0.500	0.501	0.497	0.496	0.504	0.4996	0.008
5	0.501	0.512	0.510	0.508	0.504	0.5070	0.011
6	0.503	0.500	0.497	0.496	0.504	0.5000	0.008
					Totals:	0.5022	0.0075

2.What should be done based on the calculations from question 1?

3.What is the process capability for each operator-machine capability?

4. Can you be sure that every part produced by in-control processes will meet the specification?

5. Identify and explain any underlying assumptions for the calculations done here.