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A sample of 5 boxes was selected from a process each day for 11 days. The weight of each box (in ounces), along with the sample range and mean are shown below: Process Data Day Box 1 Box2 Box3 Box4 Box5 33 33 32 28 32 2 34 33 28 34 33 3 28 34 33 27 32 4 32 30 33 30 31 5 32 33 28 31 34 6 34 34 27 34 28 7 28 32 34 31 28 8 28 34 32 31 30 9 30 33 34 34 29 10 31 28 34 34 31 11 28 34 34 31 31 Download CSV Determine the control limits for the R-chart accurate to 2 decimal places. Table of Control Chart Constants Table of Control Chart Constants Subgroup Size A2 D3 DA 2 1.880 0 3.267 3 1.023 0 2.575 4 0.729 0 2.282 5 0.577 0 2. 114 6 0.483 0 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 Centreline = b) LCL = UCL = c) Based on these results, is the process variation in control? O No. There is at least one point beyond the control limits. O No. There is no point beyond the control limits. Yes. There is no point beyond the control limits. O Yes. There is a point beyond the control limits. go VThe sample mean and ranges for 20 samples, each of size n = 11, from a manufacturing process are provided below. Sample Range Mean Sample Ranie Mean 11 1.952 20.663 2 12 1.398 20.0119 3 13 3.936 22.143 4 14 3136 19363 5 15 4.021 19.463 6 16 1.924 20.896 '2 1? 1.699 19.103 3 3.664 22.762 13 0.913 19.631 9 3.325 21.699 19 1.193 19.353 10 1.511 20.42? 20 0.55? 19.015 Download CSV Table of Control Chart Constants Table of Control Chart Constants Report answer's accurate to 3 decimal places. Do not round intermediate results. a} The lower and upper control limits for the R-ohart are: LCL=[ UCL=I Does it appear that the process range is out of control? O No. There is at least one point outside the control limits. 0 No. There is no point outside the control limits. :3 Yes. There is at least one point outside the control limits. 0 Yes. There is no point outside the control limits. .04 J, b) The lower and upper control limits for the i-chart are: LCL =l UCL= Does it appear that the process mean is out of control? Yes. There is at least one point outside the control limits. 0 No. There is at least one point outside the control limits. 0 Yes. There is no point outside the control limits. 0 No. There is no point outside the control limits. 0""