A plastic cell phone case has been experiencing physical quality control problems. That is, the clear screen does not always fit (and snap into place) on the case. The dimensions of the screen have consistently been in statistical process control (SPC). A root cause quality initiative collected the following data about the plastic cell phone case. Use Table 1 & Table 2 to determine what the Upper Control Limit (UCL) and the Lower Control Limit (LCL) are in the construction of an Xbar Chart Table 1 Cell Phone Plastic Case Widths in Centimeters Data' Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Observation #1 1 22 23 Average Range 6.02 5.97 5.9 5.963 0.12 5.92 5.83 5.87 5.873 0.09 5.88 5.97 5.88 5.91 0.09 5.99 6.08 6.08 6.05 0.09 6.05 6.06 5.98 6.03 0.08 5.94 5.96 5.99 5.963 0.05 6 5.95 5.82 5.923 0.18 *The sample averages and ranges are summed in each column to help avoid simple math errors and to quicken the time to complete the SPC analysis, Table 2 Control Chart Coefficients Subgroup Size n dy D D. D D DA 2 1.128 0 3.686 0 0 3.267 1.80 3 1.693 0 4.358 0 2.575 1.023 4 2059 0 4.698 0 2.282 0.729 5 3 2.326 0 4.918 0 0 2.115 0.577 6 7 8 9 10 2.534 0 5.078 0 2.004 0.483 2.704 0.205 5.203 0.076 1.924 0.419 2.847 0.387 5.307 0.136 1.861 0.373 2.970 0.546 5.391 0.181 1.816 0.337 3.078 0.687 5409 0.223 1.777 0.308 11 12 13 14 15 3.173 0.812 5.534 0.256 1.744 0.285 3.258 0.924 5.592 0.284 1.716 0.266 3.336 1.026 5.646 0.308 1.692 0.249 3.407 1.121 5.693 0.329 1.671 0.235 3.472 1.207 5.737 0.348 1.652 0.223 20 3.735 1.548 5.922 0.414 1.586 0.180 3.931 1.801 6.058 0.459 1.541 0.153