Question Solved1 AnswerThe 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 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 0.483 0.495 0.492 0.488 0.499 0.504 0.501 0.494 0.509 0.502 0.499 0.481 0.313 0.497 0.516 0.314 0.497 0.501 0.325 0.501 0.493 0.324 0.498 0.487 0.311 0.502 0.506 0.362 0.501 0.504 0.372 0.481 0.455 0.321 0.464 0.526 0.322 0.501 0.496 0.395 0.523 0.501 0.345 0.504 0.486 0.355 0.499 0.485 0.313 0.479 0.507 0.341 0.492 0.496 0.312 0.529 0.495 0.302 0.493 0.486 4 0.512 0.485 0.494 0.495 0.456 0.495 0.472 0.473 0.503 0.512 0.495 0.503 0.523 0.496 0.512 0.474 0.472 0.471 0.486 0.503 0.471 0.521 0.529 0.493 0.482 0.504 0.503 0.486 0.507 0.486 0.481 0.519 0.503 0.507 0.502 0.526 0.485 0.485 0.494 0.501 a. Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.) Mean 0.111 Sample Number 1 2 3 0.111 4 5 6 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 7 8 Rango 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 9 10 11 12 13 0.111 0.111 0.111 0.111 0.111 14 15 16 17 0.111 0.111 18 0.111 0.111 0.111 0.111 0.111 0.111 19 20 0.111 b. Determine X and R (Do not round intermediate calculations. Round your answers to 3 decimal places.) X bar 0.1111 0.111 R bar c. Determine the UCL and LCL for a х -chart. (Do not round intermediate calculations. Round your answers to 3 decimal places.) UCL 0.111 0.111 LCL

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Transcribed Image Text: 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 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 0.483 0.495 0.492 0.488 0.499 0.504 0.501 0.494 0.509 0.502 0.499 0.481 0.313 0.497 0.516 0.314 0.497 0.501 0.325 0.501 0.493 0.324 0.498 0.487 0.311 0.502 0.506 0.362 0.501 0.504 0.372 0.481 0.455 0.321 0.464 0.526 0.322 0.501 0.496 0.395 0.523 0.501 0.345 0.504 0.486 0.355 0.499 0.485 0.313 0.479 0.507 0.341 0.492 0.496 0.312 0.529 0.495 0.302 0.493 0.486 4 0.512 0.485 0.494 0.495 0.456 0.495 0.472 0.473 0.503 0.512 0.495 0.503 0.523 0.496 0.512 0.474 0.472 0.471 0.486 0.503 0.471 0.521 0.529 0.493 0.482 0.504 0.503 0.486 0.507 0.486 0.481 0.519 0.503 0.507 0.502 0.526 0.485 0.485 0.494 0.501 a. Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.) Mean 0.111 Sample Number 1 2 3 0.111 4 5 6 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 7 8 Rango 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 9 10 11 12 13 0.111 0.111 0.111 0.111 0.111 14 15 16 17 0.111 0.111 18 0.111 0.111 0.111 0.111 0.111 0.111 19 20 0.111 b. Determine X and R (Do not round intermediate calculations. Round your answers to 3 decimal places.) X bar 0.1111 0.111 R bar c. Determine the UCL and LCL for a х -chart. (Do not round intermediate calculations. Round your answers to 3 decimal places.) UCL 0.111 0.111 LCL
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Transcribed Image Text: 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 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 0.483 0.495 0.492 0.488 0.499 0.504 0.501 0.494 0.509 0.502 0.499 0.481 0.313 0.497 0.516 0.314 0.497 0.501 0.325 0.501 0.493 0.324 0.498 0.487 0.311 0.502 0.506 0.362 0.501 0.504 0.372 0.481 0.455 0.321 0.464 0.526 0.322 0.501 0.496 0.395 0.523 0.501 0.345 0.504 0.486 0.355 0.499 0.485 0.313 0.479 0.507 0.341 0.492 0.496 0.312 0.529 0.495 0.302 0.493 0.486 4 0.512 0.485 0.494 0.495 0.456 0.495 0.472 0.473 0.503 0.512 0.495 0.503 0.523 0.496 0.512 0.474 0.472 0.471 0.486 0.503 0.471 0.521 0.529 0.493 0.482 0.504 0.503 0.486 0.507 0.486 0.481 0.519 0.503 0.507 0.502 0.526 0.485 0.485 0.494 0.501 a. Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.) Mean 0.111 Sample Number 1 2 3 0.111 4 5 6 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 7 8 Rango 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 0.111 9 10 11 12 13 0.111 0.111 0.111 0.111 0.111 14 15 16 17 0.111 0.111 18 0.111 0.111 0.111 0.111 0.111 0.111 19 20 0.111 b. Determine X and R (Do not round intermediate calculations. Round your answers to 3 decimal places.) X bar 0.1111 0.111 R bar c. Determine the UCL and LCL for a х -chart. (Do not round intermediate calculations. Round your answers to 3 decimal places.) UCL 0.111 0.111 LCL