The production manager at Sunny Soda, Inc., is interested in tracking the qualit
ID: 397375 • Letter: T
Question
The production manager at Sunny Soda, Inc., is interested in tracking the quality of the company's 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on he label shows 12 ounces as he serving size. The design standard or he product calls or a fil e el o 12± 10 ounces. The manager collected he accompany ng an eda a in do nces per bottle) on the production process Click the icon to view the sample data. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Design an R- and an x-chart for this process. The UCLR equals ounces and the LCLR equals oun es. Enter your responses rounded to three decimal paces)Explanation / Answer
Time x1 x2 x3 x4 X bar R UCL R LCL R UCL X LCL X n= UCL (R) = R-bar x D4 LCL(R) = R-bar x D3 UCL (X-bar) = X-bar-bar + (A2 x R-bar) LCL(X-bar) = X-bar-bar - (A2 x R-bar) For N=4 D4 D3 A2 1.00 12.07 11.92 12.06 11.86 11.978 0.21 0.367 0.000 12.117 11.882 4 0.367 0.000 12.117 11.882 2.282 0 0.729 2.00 12.04 11.96 11.91 11.92 11.958 0.13 0.367 0.000 12.117 11.882 3.00 12.14 11.94 11.94 12.03 12.013 0.2 0.367 0.000 12.117 11.882 4.00 11.99 12.09 12.01 12.06 12.038 0.1 0.367 0.000 12.117 11.882 5.00 11.94 12.07 11.89 11.93 11.958 0.18 0.367 0.000 12.117 11.882 6.00 12.1 11.9 12.06 11.96 12.005 0.2 0.367 0.000 12.117 11.882 7.00 11.9 12.01 11.88 11.89 11.920 0.13 0.367 0.000 12.117 11.882 8.00 11.9 12.02 12.02 12.11 12.013 0.21 0.367 0.000 12.117 11.882 9.00 12.07 12.09 12.12 11.91 12.048 0.21 0.367 0.000 12.117 11.882 10.00 12.1 12.09 11.92 11.98 12.023 0.18 0.367 0.000 12.117 11.882 11.00 12.11 12.11 12.04 12.11 12.093 0.07 0.367 0.000 12.117 11.882 12.00 11.95 12.04 11.97 12.09 12.013 0.14 0.367 0.000 12.117 11.882 13.00 11.96 11.93 11.95 12.01 11.963 0.08 0.367 0.000 12.117 11.882 14.00 12.11 11.89 11.91 11.94 11.963 0.22 0.367 0.000 12.117 11.882 15.00 11.93 12.01 12.03 12.08 12.013 0.15 0.367 0.000 12.117 11.882
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