The following table contains the measurements of the key length dimension from a

Question

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 4 0.484 0.483 0.485 0.506 0.487 0.497 0.498 0.515 0.493 0.524 0.494 0.482 0.511 0.482 0.523 0.493 0.498 0.485 0.483 0.485 0.473 0.509 0.526 0.462 0.486 0.471 0.483 0.503 0.484 0.506 0.495 0.512 0.483 0.472 0.505 0.523 0.499 0.491 0.473 0.481 0.489 0.498 0.518 0.505 0.513 0.493 0.503 0.515 0.506 0.494 0.494 0.485 0.463 0.483 0.489 0.478 0.452 0.514 0.425 0.516 0.522 0.512 0.484 0.525 0.512 0.483 0.525 0.503 0.505 0.499 0.494 0.515 0.492 0.515 0.513 0.471 0.498 0.473 0.484 0.522 0.463 0.4840.508 0.481 0.493 0.519 0.485 0.484 0.487 0.473 0.498 0.528 0.483 0.494 0.483 0.508 0.483 0.474 0.505 0.512 4 12 13 15 16 17 18 19 20 a. Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.) Sample Number Mean 4 12 15 16 18 19

Explanation / Answer

Mean = Average of all 4 values in a sample

Range = Max value in sample - Min value in sample

Sample Readings Mean Range 1 0.484 0.483 0.485 0.506 0.487          0.489 0.023 2 0.497 0.498 0.515 0.493 0.524          0.505 0.031 3 0.494 0.482 0.511 0.482 0.523          0.498 0.041 4 0.493 0.498 0.485 0.483 0.485          0.489 0.015 5 0.473 0.509 0.526 0.462 0.486          0.491 0.064 6 0.471 0.483 0.503 0.484 0.506          0.489 0.035 7 0.495 0.512 0.483 0.472 0.505          0.493 0.04 8 0.523 0.499 0.491 0.473 0.481          0.493 0.05 9 0.489 0.498 0.518 0.505 0.513          0.505 0.029 10 0.493 0.503 0.515 0.506 0.494          0.502 0.022 11 0.494 0.485 0.463 0.483 0.489          0.483 0.031 12 0.478 0.452 0.514 0.425 0.516          0.477 0.091 13 0.522 0.512 0.484 0.525 0.512          0.511 0.041 14 0.483 0.525 0.503 0.505 0.499          0.503 0.042 15 0.494 0.515 0.492 0.515 0.513          0.506 0.023 16 0.471 0.498 0.473 0.484 0.522          0.490 0.051 17 0.463 0.484 0.508 0.481 0.493          0.486 0.045 18 0.519 0.485 0.484 0.487 0.473          0.490 0.046 19 0.498 0.528 0.483 0.494 0.483          0.497 0.045 20 0.508 0.483 0.474 0.505 0.512          0.496 0.038

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