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Bars of Rex Crunch, an energy snack bar, are labelled net: 60 g. To determine if the production process was in statistical control, a sample
Bars of Rex Crunch, an energy snack bar, are labelled "net: 60 g." To determine if the production process was in statistical control, a sample of 5 bars was selected from the production lot each day for 10 days. The mass of each bar (in grams), along with the sample range and mean are shown in the table below (some values are missing). a) Determine the missing values. The missing sample observation is the minimum value for each of the samples taken on Days 1 and 10 while for Day 6, the missing sample observation is the maximum. Bar1 Bar2 Bar 3 Bar4 Bar5 Range Mean Day 1 61.5 60.1 57.9 59.6 4.0 Day 2 62.1 61.5 57.8 58.9 60.04 Day 3 60.1 59.5 58.2 58.6 59.02 Day 4 57.3 60.8 57.6 57.1 58.30 Day 5 57.4 60.9 61.3 60.9 60.08 Day 6 60.3 59.8 58.8 58.3 3.3 Day 7 60.3 60.7 61.7 59.3 60.66 Day 8 58.4 60.4 58.6 60.8 59.82 Day 9 61.3 58.6 60.6 61.7 60.66 Day 10 69.4 59.6 59.7 60.4 9.9 Table of Control Chart Constants Table of Control Chart Constants Subgroup Size Az Da DA 2 1.880 3.267 3 1.023 0 2.575 4 0.729 2.282 5 0.577 O 2.114 6 0.483 2.004 0.419 D.076 1.924 8 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777 11 0.285 0.250 1.744 12 0.266 0.283 1.7170.483 2.004 7 0.419 0.076 1.924 8 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777 11 0.285 0.256 1.744 12 0.266 0.283 1.717 13 0.249 0.307 1.693 14 0.235 0.328 1.672 15 0.223 0.347 1.653 16 0.212 0.363 1.637 17 0.203 0.378 1.622 18 0.194 0.391 1.609 19 0.187 0.404 1.596 20 0.180 0.415 1.585 21 0.173 0.425 1.575 22 0.167 0.435 1.565 23 0.162 0.443 1.557 24 0.157 0.452 1.548 25 0.153 0.459 1.541 b) Calculate the control limits for the R-chart accurate to 2 decimal places. LCLR = UCLR = c) Calculate the control limits for the x-chart accurate to 2 decimal places. LCL, = UCL, = d) Is the process mean or range out of control ? Select an
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