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:15- 15-11 Small boxes of NutraFlakes cereal are labeled net weight 10 ounces. Each hour, random samples of size n = 4 boxes are
:15- 15-11 Small boxes of NutraFlakes cereal are labeled "net weight 10 ounces." Each hour, random samples of size n = 4 boxes are weighed to check process control. Five hours of observations yielded the following: WEIGHT TIME BOX 1 BOX 2 BOX 3 BOX 4 9 A.M. 9.8 10.4 9.9 10.3 10 A.M. 10.1 10.2 9.9 9.8 11 A.M. 9.9 10.5 10.3 10.1 Noon 9.7 9.8 10.3 10.2 1 P.M. 9.7 10.1 9.9 9.9 Using these data, construct limits for x- and R- charts. Is the process in control? What other steps should the QC department follow at this point? 15-12 Sampling four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: HOUR R HOUR R 1 3.25" 0.71" 13 3.11" 0.85" 2 3.10 1.18 14 2.83 1.31 3 3.22 1.43 15 3.12 1.06 4 3.39 1.26 16 2.84 0.50 5 3.07 1.17 17 2.86 1.43 6 2.86 0.32 18 2.74 1.29 7 3.05 0.53 19 3.41 1.61 8 2.65 1.13 20 2.89 1.09 9 3.02 0.71 21 2.65 1.08 10 2.85 1.33 22 3.28 0.46 11 2.83 1.17 23 2.94 1.58 12 2.97 0.40 24 2.64 0.97 Develop appropriate control limits and determine whether there is any cause for concern in the cutting process.
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