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. SAMPLE NUMBER OBSERVATIONS 1 2 3 4 5 1 0.486 0.499 0.493 0.511 0.481 2 0.499 0.506 0.516 0.494 0.529 3 0.496 0.500 0.515 0.488 0.521 4 0.495 0.506 0.483 0.487 0.489 5 0.472 0.502 0.526 0.469 0.481 6 0.473 0.495 0.507 0.493 0.506 7 0.495 0.512 0.490 0.471 0.504 8 0.525 0.501 0.498 0.474 0.485 9 0.497 0.501 0.517 0.506 0.516 10 0.495 0.505 0.516 0.511 0.497 11 0.495 0.482 0.468 0.492 0.492 12 0.483 0.459 0.526 0.506 0.522 13 0.521 0.512 0.493 0.525 0.510 14 0.487 0.521 0.507 0.501 0.500 15 0.493 0.516 0.499 0.511 0.513 16 0.473 0.506 0.479 0.480 0.523 17 0.477 0.485 0.513 0.484 0.496 18 0.515 0.493 0.493 0.485 0.475 19 0.511 0.536 0.486 0.497 0.491 20 0.509 0.490 0.470 0.504 0.512 Calculate the mean and range for the above samples. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. Determine X=�= and R¯¯¯�¯ . Note: Do not round intermediate calculations. Round your answers to 3 decimal places. Determine the UCL and LCL for a X¯¯¯�¯ -chart. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. Determine the UCL and LCL for R-chart. Note: Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places. What comments can you make about the process? multiple choice The process is in statistical control. The process is out of statistical control.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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.

SAMPLE NUMBER	OBSERVATIONS
1	2	3	4	5
1	0.486	0.499	0.493	0.511	0.481
2	0.499	0.506	0.516	0.494	0.529
3	0.496	0.500	0.515	0.488	0.521
4	0.495	0.506	0.483	0.487	0.489
5	0.472	0.502	0.526	0.469	0.481
6	0.473	0.495	0.507	0.493	0.506
7	0.495	0.512	0.490	0.471	0.504
8	0.525	0.501	0.498	0.474	0.485
9	0.497	0.501	0.517	0.506	0.516
10	0.495	0.505	0.516	0.511	0.497
11	0.495	0.482	0.468	0.492	0.492
12	0.483	0.459	0.526	0.506	0.522
13	0.521	0.512	0.493	0.525	0.510
14	0.487	0.521	0.507	0.501	0.500
15	0.493	0.516	0.499	0.511	0.513
16	0.473	0.506	0.479	0.480	0.523
17	0.477	0.485	0.513	0.484	0.496
18	0.515	0.493	0.493	0.485	0.475
19	0.511	0.536	0.486	0.497	0.491
20	0.509	0.490	0.470	0.504	0.512

Calculate the mean and range for the above samples.

Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
Determine X=�= and R¯¯¯�¯ .

Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
Determine the UCL and LCL for a X¯¯¯�¯ -chart.

Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
Determine the UCL and LCL for R-chart.

Note: Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places.
What comments can you make about the process?

multiple choice
- The process is in statistical control.
- The process is out of statistical control.

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