Question

Problem 10-29 (Algo)

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	0.481	0.486	0.492	0.517	0.475
2	0.485	0.505	0.527	0.491	0.528
3	0.486	0.487	0.513	0.487	0.524
4	0.481	0.505	0.468	0.486	0.486
5	0.467	0.503	0.512	0.468	0.479
6	0.468	0.493	0.502	0.491	0.508
7	0.485	0.507	0.486	0.479	0.507
8	0.532	0.504	0.485	0.480	0.483
9	0.493	0.505	0.515	0.507	0.499
10	0.492	0.507	0.509	0.517	0.481
11	0.491	0.512	0.469	0.490	0.496
12	0.484	0.441	0.521	0.507	0.525
13	0.529	0.495	0.491	0.518	0.507
14	0.482	0.497	0.507	0.491	0.503
15	0.492	0.511	0.483	0.517	0.506
16	0.461	0.502	0.480	0.478	0.525
17	0.471	0.474	0.514	0.477	0.491
18	0.521	0.512	0.491	0.475	0.480
19	0.505	0.552	0.486	0.481	0.489
20	0.502	0.482	0.481	0.507	0.507

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. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places.)

e. What comments can you make about the process?

• Process is in statistical control.

• Process is out of statistical control.

Answer 1