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The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals. Use three-sigma control limits. Use Exhibit 10.13.

	OBSERVATIONS
SAMPLE NUMBER	1	2	3	4	5
1	0.487	0.481	0.485	0.509	0.484
2	0.501	0.505	0.517	0.490	0.525
3	0.497	0.499	0.514	0.486	0.516
4	0.496	0.505	0.485	0.483	0.488
5	0.473	0.503	0.523	0.468	0.487
6	0.474	0.483	0.506	0.481	0.504
7	0.496	0.511	0.493	0.472	0.497
8	0.523	0.505	0.494	0.473	0.493
9	0.495	0.500	0.513	0.502	0.501
10	0.494	0.501	0.517	0.509	0.491
11	0.496	0.485	0.460	0.492	0.486
12	0.484	0.460	0.511	0.497	0.515
13	0.525	0.511	0.481	0.526	0.513
14	0.488	0.522	0.506	0.507	0.503
15	0.491	0.517	0.498	0.509	0.509
16	0.472	0.505	0.470	0.481	0.528
17	0.469	0.482	0.512	0.483	0.497
18	0.516	0.485	0.481	0.484	0.470
19	0.512	0.525	0.483	0.491	0.495
20	0.498	0.493	0.471	0.497	0.511

a.Calculate the mean and range for the above samples.(Do not round intermediate calculations. Round your answers to 3 decimal places.)

b.Determine X=X= and R-R- . (Do not round intermediate calculations. Round your answers to 3 decimal places.)

c.Determine the UCL and LCL for a X-X- -chart. (Do not round intermediate calculations. Round your answers to 3 decimal places.)

d.Determine the UCL and LCL for R-chart.

e.What comments can you make about the process?

MULTIPLE CHOICE

Process is in statistical control.
Process is out of statistical control.

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