1. A new computer processing have a nominal time of 400 minutes. Samples of five observations each have been taken, and the results are as listed below. With the computer processing standard deviation of 4.63 minutes, determine upper and lower control limits for mean and range charts with three-sigma, and decide if the process is in control.
Observations | Sample | ||||||
1 | 2 | 3 | 4 | 5 | 6 | ||
i | 396 | 402.5 | 398 | 394.5 | 402.5 | 398.5 | |
ii | 394 | 393.5 | 398 | 397 | 398 | 403 | |
iii | 400 | 405 | 402 | 398.5 | 402 | 402.5 | |
iv | 392 | 402 | 401.5 | 397 | 404 | 400 | |
v | 405 | 400.5 | 404 | 403 | 394 | 405.5 |
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Data:
contamination
418
396
400
404
398
413
411
403
410
393
384
415
421
391
398
408
384
396
410
388
406
407
422
422
2321
415
388
426
394
415
411
410
396
426
422
404
414
410
410
401
392
396
415
409
384
426
402
396
392
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