Samples of five units each were taken. Use three-sigma control limits (so use Exhibit 13,7). SAMPLE...

  

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Samples of five units each were taken. Use three-sigma control limits (so use Exhibit 13,7). SAMPLE NUMBER 1234567E 23 7 8 HA 106 9. 10 11 23 12 13 14 HAHARAN 819 5 15 16 17 18 19 20 Sample Number 1 OBSERVATIONS 5 2 0.485 0.482 0.508 0.485 0.504 0.518 0.491 0.526 0.481 0.513 0.483 0.515 0.504 0.482 0.485 0.486 0.460 0.486 0.488 0.501 0.498 0.497 0.474 0.498 0.524 0.475 0.485 0.505 0.482 0.497 0.512 0.521 0.485 0.470 0.503 0.493 0.471 0.494 0.501 0.514 0.496 0.495 0.505 0.518 0.508 0.4921 0.493 0.482 0.461 0.481 0.487 0.483 0.450 0.512 0.496 0.521 0.523 0.512 0.482 0.523 0.509 0.485 0.523 0.505 0.506 0.502 0.492 0.518 0.494 0.508 0.511 0.473 0.504 0.471 0.482 0.518 0.465 0.483 0.511 0.484 0.491 0.482 0.482 0.471 0.517 0.485 0.513 0.526 0.485 0.492 0.481 0.499 0.485 0.472 0.496 0.512 a. Calculate the mean and range for the above samples. To save you time, I am having you enter only the values for the first three- samples, but you will ultimately need to analyze all of the data (hint: copy and paste the above table into Excel in order to do the analysis). Round each mean and range to 3 decimal places (e.g., 0.1345 is rounded to 0.135). Mean 0.497 0.496 0.494 0.511 Range b. Determine X and R using all of the data from samples 1-20 in the above table (not just samples 1-3). If you round for Intermediate steps (e.g., each sample mean and range), go to at least 3 decimal places (e.g., 0.1345 is rounded to 0.135), and round your final answers to 3 decimal places (e.g., 0.1345 is rounded to 0.135). X-double bar R-bar c. Determine the UCL and LCL for the X-chart. If you round for intermediate steps, go to at least 3 decimal places (e.g., use your answers from part b), and round your final answers to 3 decimal places (e.g., 0.1345 is rounded to 0.135). UCL LCL d. Determine the UCL and LCL for the R-chart. Leave no cells blank-be certain to enter "0" wherever required. If you round for intermediate steps, go to at least 3 decimal places (e.g., 0.1345 is rounded to 0.135), and round your final answers to 3 decimal places (e.g. 0.1345 is rounded to 0.135) UGL LCL Samples of five units each were taken. Use three-sigma control limits (so use Exhibit 13,7). SAMPLE NUMBER 1234567E 23 7 8 HA 106 9. 10 11 23 12 13 14 HAHARAN 819 5 15 16 17 18 19 20 Sample Number 1 OBSERVATIONS 5 2 0.485 0.482 0.508 0.485 0.504 0.518 0.491 0.526 0.481 0.513 0.483 0.515 0.504 0.482 0.485 0.486 0.460 0.486 0.488 0.501 0.498 0.497 0.474 0.498 0.524 0.475 0.485 0.505 0.482 0.497 0.512 0.521 0.485 0.470 0.503 0.493 0.471 0.494 0.501 0.514 0.496 0.495 0.505 0.518 0.508 0.4921 0.493 0.482 0.461 0.481 0.487 0.483 0.450 0.512 0.496 0.521 0.523 0.512 0.482 0.523 0.509 0.485 0.523 0.505 0.506 0.502 0.492 0.518 0.494 0.508 0.511 0.473 0.504 0.471 0.482 0.518 0.465 0.483 0.511 0.484 0.491 0.482 0.482 0.471 0.517 0.485 0.513 0.526 0.485 0.492 0.481 0.499 0.485 0.472 0.496 0.512 a. Calculate the mean and range for the above samples. To save you time, I am having you enter only the values for the first three- samples, but you will ultimately need to analyze all of the data (hint: copy and paste the above table into Excel in order to do the analysis). Round each mean and range to 3 decimal places (e.g., 0.1345 is rounded to 0.135). Mean 0.497 0.496 0.494 0.511 Range b. Determine X and R using all of the data from samples 1-20 in the above table (not just samples 1-3). If you round for Intermediate steps (e.g., each sample mean and range), go to at least 3 decimal places (e.g., 0.1345 is rounded to 0.135), and round your final answers to 3 decimal places (e.g., 0.1345 is rounded to 0.135). X-double bar R-bar c. Determine the UCL and LCL for the X-chart. If you round for intermediate steps, go to at least 3 decimal places (e.g., use your answers from part b), and round your final answers to 3 decimal places (e.g., 0.1345 is rounded to 0.135). UCL LCL d. Determine the UCL and LCL for the R-chart. Leave no cells blank-be certain to enter "0" wherever required. If you round for intermediate steps, go to at least 3 decimal places (e.g., 0.1345 is rounded to 0.135), and round your final answers to 3 decimal places (e.g. 0.1345 is rounded to 0.135) UGL LCL