Question: Using the SPC chart blank and the attached data sheet, develop a X-bar and R charts representing the first 16 samples. Plot the means and

Using the SPC chart blank and the attached data sheet, develop a X-bar and R charts representing the first 16 samples. Plot the means and the ranges for the samples and compute the UCL and LCL for both charts using the constants from the attached table of constants. Is the process stable? Please discuss.

Table of Constants and Formulas for Control Charts X and R Charts Chart for Chart for Ranges (R) Averages Control Limits Factor Subgroup A Size 2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.285 0.266 0.249 0.235 0.223 0.212 0.203 0.194 0.187 0.180 0.173 0.167 0.162 0.157 0.153 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 ALA Divisors to Estimate ox d 1.128 1.693 2.059 2.326 2.534 2.704 2.847 2.970 3.078 3.173 3.258 3.336 3.407 3.472 3.532 3.588 3.640 3.689 3.735 3.778 3.819 3.858 3.895 3.931 Factors for Control Limits D3 D 3.267 2.574 2.282 2.114 2.004 0.076 1.924 0.136 1.864 0.184 1.816 0.223 1.777 0.256 1.744 0.283 1.717 0.307 1.693 0.328 1.672 0.347 1.653 0.363 1.637 0.378 1.622 0.391 1.608 0.403 1.597 0.415 1.585 0.425 1.575 0.434 1.566 0.443 1.557 0.451 1.548 0.459 1.541 Chart for Averages Control Limits Factor A3 2.659 1.954 1.628 1.427 1.287 1.182 1.099 1.032 0.975 0.927 0.886 0.850 0.817 0.789 0.763 0.739 0.718 0.698 0.680 0.663 0.647 0.633 0.619 0.606 X and s Charts Chart for Ranges (R) Divisors to Estimate ox C4 0.7979 0.8862 0.9213 0.9400 0.9515 0.9594 0.9650 0.9693 0.9727 0.9754 0.9776 0.9794 0.9810 0.9823 0.9835 0.9845 0.9854 0.9862 0.9869 0.9876 0.9882 0.9887 0.9892 0.9896 Factors for Control Lin B4 3.267 2.568 2.266 2.089 0.030 1.970 0.118 1.882 0.185 1.815 0.239 1.761 0.284 1.716 0.321 1.679 0.354 1.646 0.382 1.618 0.406 1.594 0,428 1.572 0.448 1.552 0.466 1.534 0.482 1.518 0.497 1.503 0.510 1.490 0.523 1.477 0.534 1.466 0.545 1.455 0.555 1.445 0.565 1.435 Sample Number X .X2 X3 X4 X5 1 15.8 16.3 16.2 16.1 16.6 2 16.3 15.9 15.9 16.2 16.4 3 16.1 16.2 16.5 16.4 16.3 4 16.3 16.2 15.9 16.4 16.2 5 16.1 16.1 16.4 16.5 16.0 16.1 15.8 16.7 16.6 16.4 16.1 16.3 16.5 16.1 16.5 16.2 16.1 16.2 16.1 16.3 16.3 16.2 16.4 16.3 16.5 16.6 16.3 16.4 16.1 16.5 16.2 16.4 15.9 16.3 16.4 15.9 16.6 16.7 16.2 16.5 16.4 16.1 16.6 16.4 16.1 16.5 16.3 16.2 16.3 16.4 16.4 16.1 16.3 16.2 16.2 16.0 16.2 16.3 16.3 16.2 16.4 16.2 16.4 16.3 16.2 16.0 16.2 16.4 16.5 16.1 16.4 16.0 16.3 16.4 16.4 16.4 16.4 16.5 16.0 15.8 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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