Please solve the following problems related to Control chart (Chapter 3)

Construct a 3-sigma and R-chart for the length in centimeters of a part from the following table. Do you think the process is under control, why?

Table 1.

Sample #	Observation 1	Observation 2	Observation 3	Observation 4
1	0.486	0.499	0.493	0.511
2	0.499	0.506	0.516	0.494
3	0.496	0.5	0.515	0.488
4	0.495	0.506	0.483	0.487
5	0.472	0.502	0.526	0.469
6	0.473	0.495	0.507	0.493
7	0.495	0.512	0.49	0.471
8	0.525	0.501	0.498	0.474
9	0.497	0.501	0.517	0.506
10	0.495	0.505	0.516	0.511