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PHASE 4: Because corrective action was taken to eliminate the special cause of variation, Natalie removes the data for batch 17 from the analysis. The
PHASE 4: Because corrective action was taken to eliminate the special cause of variation, Natalie removes the data for batch 17 from the analysis. The control charts for the remaining days indicate a stable system, with only common causes of variation operating on the system. Then, Natalie and Jim sit down with Dave Martin and several other machinists to try to determine all the possible causes for the existence of oversized and scrapped rollers. Natalie is still troubled by the data. After all, she wants to find out whether the process is giving oversizes (which are downgraded) and undersizes (which are scrapped). She thinks about which tables and charts might be most helpful. a. Construct a frequency distribution and a stem-and-leaf display of the cam roller diameters. Which do you prefer in this situation? b. Based on your results in (a), construct all appropriate charts of the cam roller diameters. c. Write a report, expressing your conclusions concerning the cam roller diameters. Be sure to discuss the diameters as they relate to the specifications. Day Diameter Diameter Diameter Diameter Diameter 1 0.5076 0.5076 0.5075 0.5077 0.5075 2 0.5075 0.5077 0.5076 0.5076 0.5075 3 0.5075 0.5075 0.5075 0.5075 0.5076 4 0.5075 0.5076 0.5074 0.5076 0.5073 5 0.5075 0.5074 0.5076 0.5073 0.5076 6 0.5076 0.5075 0.5076 0.5075 0.5075 7 0.5076 0.5076 0.5076 0.5075 0.5075 8 0.5075 0.5076 0.5076 0.5075 0.5074 9 0.5074 0.5076 0.5075 0.5075 0.5076 10 0.5076 0.5077 0.5075 0.5075 0.5075 11 0.5075 0.5075 0.5075 0.5076 0.5075 12 0.5075 0.5076 0.5075 0.5077 0.5075 13 0.5076 0.5076 0.5073 0.5076 0.5074 14 0.5075 0.5076 0.5074 0.5076 0.5075 15 0.5075 0.5075 0.5076 0.5074 0.5073 16 0.5075 0.5074 0.5076 0.5075 0.5075 17 0.5075 0.5074 0.5075 0.5074 0.5072 18 0.5075 0.5075 0.5076 0.5075 0.5076 19 0.5076 0.5076 0.5075 0.5075 0.5076 20 0.5075 0.5074 0.5077 0.5076 0.5074 21 0.5075 0.5074 0.5075 0.5075 0.5075 22 0.5076 0.5076 0.5075 0.5076 0.5074 23 0.5076 0.5076 0.5075 0.5075 0.5076 24 0.5075 0.5076 0.5075 0.5076 0.5075 25 0.5075 0.5075 0.5075 0.5075 0.5074 26 0.5077 0.5076 0.5076 0.5074 0.5075 27 0.5075 0.5075 0.5074 0.5076 0.5075 28 0.5077 0.5076 0.5075 0.5075 0.5076 29 0.5075 0.5075 0.5074 0.5075 0.5075 30 0.5076 0.5075 0.5075 0.5076 0.5075 Mean 0.50758 0.50758 0.50752 0.50748 0.50748 0.50754 0.50756 0.50752 0.50752 0.50756 0.50752 0.50756 0.5075 0.50752 0.50746 0.5075 0.5074 0.50754 0.50756 0.50752 0.50748 0.50754 0.50756 0.50754 0.50748 0.50756 0.5075 0.50758 0.50748 0.50754 Range 0.0002 0.0002 0.0001 0.0003 0.0003 0.0001 0.0001 0.0002 0.0002 0.0002 0.0001 0.0002 0.0003 0.0002 0.0003 0.0002 0.0003 0.0001 0.0001 0.0003 1E-04 0.0002 0.0001 0.0001 1E-04 0.0003 0.0002 0.0002 1E-04 0.0001
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