Problem 2 (Use 2 digits after decimal point.) Small boxes of NutraFlakes cereal are labeled "net weight 10 oz." Each hour, 7 boxes are weighed to check whether the process is in control. Six hours of observations yielded the following data. Hour Box1 Box2 Box3 Box4 Box5 Box7 9.8 10.4 9.6 10.4 9.8 10.2 10.2 10.4 9.8 10.4 10.6 10.1 9.4 10.4 3 10. 10.5 10.4 9,7 9.8 9.9 9.8 4 9.9 9.8 8.9 10.2 10.4 10.4 10.1 5 10.2 10.2 10.1 9.6 9.9 10,0 9.6 6 10.6 10.4 10.2 10.2 9.8 10,0 10.1 Q5 Compute 3 sigma to set up UCL and LCL for Xbar chart. And compute UCL and LCL for Xbar chart. Q6 Compute UCL and LCL for R chart. Q7 The net weight of NutraFlakes cereal in each box is designed to be 10.0 oz with a tolerance of0.2 oz. Xdouble-bar computed in Q5 is used as an averagae net weight of the cereal box. The standard deviation is assumed to be 0.126. a: Compute Cpk (process capability index). b: What should the actual standard deviation of NutraFlakes cereal be to meet Six Sigma standard? (Note: Cpk-2 is equivalent to Six Sigma standard.) Factor for Determining Three-Sigma Control Limits for X-bar and R Charts Number of Factor for Lower Observations X-bar Control Upper Control Limit in Subgroup Chart Limit n A2 D3 D4 2 1.88 0 3.27 3 1.02 0 2.57 0.73 2.28 0.58 2.11 0.48 2.00 0.42 0.08 1.92 0.37 0.14 1.86 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72 13 0.25 0.31 1.69 14 0.24 0.33 1.67 0.22 0.35 1.65 16 0.21 0.36 1.64 17 0.20 0.38 1.62 18 0.19 0.39 1.61 19 0.19 0.40 1.60 20 0.18 0.41 1.59 Upper Control Limit forXlar-bilartXdouble-bar + A2 Rbar Lower Control Limit for Xbar-KirartXdouble-bar - A2 Rbar Upper Control Limit for RCRardD4Rbar Lower Control Limit for RKBarD3Rbar