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Q14. The following table contains the measurements of the key length dimensions from a fuel injector.These samples of size five were taken at one -hour intervals. a. Construct a three-sigma x-chart and R-chart (use Exhibit 6.13) for the length of the fuel injector.what can you say about this process? The picture of Exhibit 6.13 is attached  The picture with the sample number and observations also attached. Thanks

Q14. The following table contains the measurements of the key length dimensions from a fuel injector.These samples of size five were taken at one -hour intervals. a. Construct a three-sigma x-chart and R-chart (use Exhibit 6.13) for the length of the fuel injector.what can you say about this process? The picture of Exhibit 6.13 is attached  The picture with the sample number and observations also attached. Thanks

Practical Management Science
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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Q14. The following table contains the measurements of the key length dimensions from a fuel injector.These samples of size five were taken at one -hour intervals.

a. Construct a three-sigma x-chart and R-chart (use Exhibit 6.13) for the length of the fuel injector.what can you say about this process?

The picture of Exhibit 6.13 is attached 

The picture with the sample number and observations also attached. Thanks 

 

o the test? an shift their 13 12 1,000 0.012 14 14 1,000 0.014 and county 15 16 10 1,000 0.010 30 1,000 e police rec- e involved, 0.030 17 4. 18 1,000 0.004 20 1,000 0.020 19 port, or do 1,000 0.006 20 30 contacting spondents 1,000 0.030 300 Suggest a reallocation of crime protection effort, if indicated, based on a p-chart analysis. To be reasonably certain in your recommendation, select a 95 percent confidence level (that ne area: is, Z=1.96). 14 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. OBSERVATIONS SAMPLE NUMBER 3 4 1 486 .499 .493 511 .481 .499 506 516 .494 529 3. 496 500 515 .488 .521 4. .495 506 .483 487 .469 489 481 .472 502 526 473 495 507 493 506 .495 512 490 471 504 8. 525 485 516 501 498 .474 6. 497 501 517 506 10 495 505 516 511 497 468 526 482 495 483 11 492 492 ext 12 459 506 .522 13 521 512 493 525 510 14 487 521 507 501 500 15 493 516 499 511 513 480 484 .485 16 473 506 479 523 .477 485 513 496 17 18 515 .493 493 .475 19 511 536 486 497 .491 20 509 .490 .470 504 512
Transcribed Image Text:o the test? an shift their 13 12 1,000 0.012 14 14 1,000 0.014 and county 15 16 10 1,000 0.010 30 1,000 e police rec- e involved, 0.030 17 4. 18 1,000 0.004 20 1,000 0.020 19 port, or do 1,000 0.006 20 30 contacting spondents 1,000 0.030 300 Suggest a reallocation of crime protection effort, if indicated, based on a p-chart analysis. To be reasonably certain in your recommendation, select a 95 percent confidence level (that ne area: is, Z=1.96). 14 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. OBSERVATIONS SAMPLE NUMBER 3 4 1 486 .499 .493 511 .481 .499 506 516 .494 529 3. 496 500 515 .488 .521 4. .495 506 .483 487 .469 489 481 .472 502 526 473 495 507 493 506 .495 512 490 471 504 8. 525 485 516 501 498 .474 6. 497 501 517 506 10 495 505 516 511 497 468 526 482 495 483 11 492 492 ext 12 459 506 .522 13 521 512 493 525 510 14 487 521 507 501 500 15 493 516 499 511 513 480 484 .485 16 473 506 479 523 .477 485 513 496 17 18 515 .493 493 .475 19 511 536 486 497 .491 20 509 .490 .470 504 512
Factor for Determining from R the Three-Sigma Control Limits for X- and R-Charts Note: All factors are based on the normal distribution. stor for Determining from R the Three-Sigma Control Limits for X- and R-Charts exhibit 6.13 FACTORS FOR R-CHART NUMBER OF FACTOR FOR LOWER CONTROL UPPER CONTROL OBSERVATIONS X-CHART LIMIT LIMIT IN SUBGROUP A2 D, DA 3. 1.88 3.27 1.02 2.57 0.73 2.28 Employee 0.58 0.48 2.11 6. 2.00 annon Macrth Overmi 0.42 0,08 1.92 8. 0.37 0.14 1.86 Excel: SPC DONE 9. 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72 1.69 1.67 13 0.25 0.31 14 0.24 0.33 15 1.65 1.64 0.22 0.35 16 0.36 0.38 0.21 17 0.20 1.62 18 0.19 0.39 1.61 19 0.19 0.40 1.60 20 0.18 0.41 1.59 Upper control limit for X = UCL, = X + A,R Lower control limit for X = LCL, =X - A,R Upper control limit for R = UCL, = DR Lower control limit for R = LCL, = DR %3D %3D %3D %3D %3D 2 3 4 502 om
Transcribed Image Text:Factor for Determining from R the Three-Sigma Control Limits for X- and R-Charts Note: All factors are based on the normal distribution. stor for Determining from R the Three-Sigma Control Limits for X- and R-Charts exhibit 6.13 FACTORS FOR R-CHART NUMBER OF FACTOR FOR LOWER CONTROL UPPER CONTROL OBSERVATIONS X-CHART LIMIT LIMIT IN SUBGROUP A2 D, DA 3. 1.88 3.27 1.02 2.57 0.73 2.28 Employee 0.58 0.48 2.11 6. 2.00 annon Macrth Overmi 0.42 0,08 1.92 8. 0.37 0.14 1.86 Excel: SPC DONE 9. 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72 1.69 1.67 13 0.25 0.31 14 0.24 0.33 15 1.65 1.64 0.22 0.35 16 0.36 0.38 0.21 17 0.20 1.62 18 0.19 0.39 1.61 19 0.19 0.40 1.60 20 0.18 0.41 1.59 Upper control limit for X = UCL, = X + A,R Lower control limit for X = LCL, =X - A,R Upper control limit for R = UCL, = DR Lower control limit for R = LCL, = DR %3D %3D %3D %3D %3D 2 3 4 502 om
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