Minting Quarters: Constructing an Chart Construct an chart and determine whether the process mean is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of a statistically stable mean. Does this process need corrective action?

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Weights (in grams) of Minted Quarters Hour Weight (g) s Range 1 5.639 5.636 5.679 5.637 5.691 5.6564 0.0265 0. 055 2 5.655 5.641 5.626 5.668 5.679 5.6538 0.0211 0. 053 3 5.682 5.704 5.725 5.661 5.721 5.6986 0.0270 0. 064 4 5.675 5.648 5.622 5.669 5.585 5.6398 0.0370 0. 090 5 5.690 5.636 5.715 5.694 5.709 5.6888 0.0313 0. 079 6 5.641 5.571 5.600 5.665 5.676 5.6306 0.0443 0. 105 7 5.503 5.601 5.706 5.624 5.620 5.6108 0.0725 0. 203 8 5.669 5.589 5.606 5.685 5.556 5.6210 0.0545 0. 129 9 5.668 5.749 5.762 5.778 5.672 5.7258 0.0520 0. 110 10 5.693 5.690 5.666 5.563 5.668 5.6560 0.0534 0 .130 11 5.449 5.464 5.732 5.619 5.673 5.5874 0.1261 0 .283 12 5.763 5.704 5.656 5.778 5.703 5.7208 0.0496 0 .122 13 5.679 5.810 5.608 5.635 5.577 5.6618 0.0909 0 .233 14 5.389 5.916 5.985 5.580 5.935 5.7610 0.2625 0 .596 15 5.747 6.188 5.615 5.622 5.510 5.7364 0.2661 0 .678 16 5.768 5.153 5.528 5.700 6.131 5.6560 0.3569 0 .978 17 5.688 5.481 6.058 5.940 5.059 5.6452 0.3968 0 .999 18 6.065 6.282 6.097 5.948 5.624 6.0032 0.2435 0 .658 19 5.463 5.876 5.905 5.801 5.847 5.7784 0.1804 0 .442 20 5.682 5.475 6.144 6.260 6.760 6.0642 0.5055 1 .285