The data below are and R values for 25 samples of size for hole location data for the X-axis dimension. Set up an and R chart on this process. Interpret the chart. Does the process seem to be in control? If necessary, assume assignable causes and revise the trial control limits. If the hole location is to be centered at 50.0, how does this process compare? PLEASE SHOW ALL WORK!

Subgroup Number	X	Range
1	50.3	0.73
2	49.6	0.75
3	50.8	0.79
4	50.9	0.74
5	49.8	0.72
6	50.5	0.73
7	50.2	0.71
8	49.9	0.70
9	50	0.65
10	50.1	0.67
11	50.2	0.65
12	50.5	0.67
13	50.4	0.68
14	50.8	0.70
15	50	0.65
16	49.9	0.66
17	50.4	0.67
18	50.5	0.68
19	50.7	0.70
20	50.2	0.65
21	49.9	0.60
22	50.1	0.64
23	49.5	0.60
24	50	0.62
25	50.3	0.60
Subgroup Number	X	Range
1	50.3	0.73
2	49.6	0.75
3	50.8	0.79
4	50.9	0.74
5	49.8	0.72
6	50.5	0.73
7	50.2	0.71
8	49.9	0.70
9	50	0.65
10	50.1	0.67
11	50.2	0.65
12	50.5	0.67
13	50.4	0.68
14	50.8	0.70
15	50	0.65
16	49.9	0.66
17	50.4	0.67
18	50.5	0.68
19	50.7	0.70
20	50.2	0.65
21	49.9	0.60
22	50.1	0.64
23	49.5	0.60
24	50	0.62
25	50.3	0.60