The following data on the deviation from target in the parallelorientation is taken from

Chapter 16, Problem 18

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The following data on the deviation from target in the parallelorientation is taken from Table 1 of the article cited inExample 16.5. Sometimes a transformation of the data isappropriate, either because of nonnormality or becausesubgroup variation changes systematically with the subgroupmean. The authors of the cited article suggested asquare root transformation for this data (the family of BoxCoxtransformations is y 5 xl, so l 5 .5 here; Minitab willidentify the best value of l). Transform the data as suggested,calculate control limits for X, R, and S charts, andcheck for the presence of any out-of-control signals.des dim observations200 14 31 12250 22 13 9300 12 22 16350 11 28 1des dim observations 400 15 12 36 450 6 31 14 500 13 24 9 550 21 18 16 600 6 16 20 650 8 17 23 700 3 26 17 750 17 12 22 800 41 17 3 850 18 11 21 900 9 15 22 950 25 4 171000 8 23 15