A process has been monitored and sampled at periodic intervals over several days.Data have been collected in the table below there are twenty samples each with a size of five observations.Find the control limits for x-bar and R charts using the equations discussed in class. First, construct the appropriate control charts and analyze them to determine if the process appears to be in control or not. Second, suppose the specification for the process is 9.5 0.05, and = .01578, is the process capable? Justify your answer using Cp and Cpk. (30 pts.) (For n=5, A2=0.577, D3=0, and D4=2.114)

Sample # x R

1 9.502 9.501 9.504 9.516 9.489

2 9.491 9.515 9.483 9.505 9.500

3 9.497 9.515 9.519 9.495 9.538

4 9.452 9.509 9.508 9.491 9.505

5 9.501 9.516 9.527 9.486 9.494

6 9.507 9.487 9.482 9.515 9.514

7 9.493 9.499 9.480 9.507 9.505

8 9.518 9.492 9.511 9.501 9.492

9 9.489 9.477 9.487 9.487 9.497

10 9.497 9.510 9.524 9.546 9.515

11 9.485 9.492 9.500 9.520 9.490

12 9.497 9.480 9.507 9.512 9.518

13 9.480 9.489 9.499 9.513 9.505

14 9.509 9.502 9.507 9.515 9.516

15 9.522 9.505 9.526 9.498 9.499

16 9.509 9.495 9.494 9.505 9.488

17 9.491 9.526 9.492 9.488 9.508

18 9.510 9.504 9.496 9.504 9.521

19 9.485 9.454 9.524 9.540 9.524

20 9.508 9.499 9.487 9.501 9.475