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# HW #5 - Homework Five A Control Chart Problem Fall 2008 You...

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Homework Five: A Control Chart Problem Fall 2008 You have been given the following data which represents the measurements taken from a sample of size four that is monitoring a process that produces golf balls. The variable being measured is the maximum diameter of the golf balls being produced by a high-speed production line. Sample #1 #2 #3 #4 High Low Range Mean 1 2.7529 2.7673 2.7614 2.7716 2.7716 2.7529 0.0187 2.76 2 2.7601 2.7706 2.7721 2.7502 2.7721 2.7502 0.0219 2.76 3 2.7738 2.7564 2.7699 2.8727 2.8727 2.7564 0.1164 2.79 4 2.7664 2.8709 2.7603 2.7525 2.8709 2.7525 0.1184 2.79 5 2.7535 2.8614 2.8696 2.7517 2.8696 2.7517 0.1179 2.81 6 2.7725 2.7591 2.7670 2.8657 2.8657 2.7591 0.1067 2.79 7 2.7748 2.7601 2.7667 2.7640 2.7748 2.7601 0.0147 2.77 8 2.7694 2.7572 2.7542 2.7568 2.7694 2.7542 0.0152 2.76 9 2.7505 2.7654 2.7681 2.7723 2.7723 2.7505 0.0218 2.76 10 2.8667 2.7703 2.7676 2.7725 2.8667 2.7676 0.0992 2.79 11 2.7680 2.7514 2.7662 2.8604 2.8604 2.7514 0.1090 2.79 12 2.7606 2.7704 2.7505 2.7700 2.7704 2.7505 0.0199 2.76 13 2.7546 2.8535 2.7623 2.7537 2.8535 2.7537 0.0998 2.78 14 2.7528 2.7524 2.7523 2.7635 2.7635 2.7523 0.0112 2.76 15 2.7505 2.7594 2.7525 2.7561 2.7594 2.7505 0.0089 2.75 16 2.7623 2.7511 2.8725 2.7529 2.8725 2.7511 0.1215 2.78 17 2.7693 2.7650 2.7546 2.7514 2.7693 2.7514 0.0179 2.76 18 2.7681 2.7652 2.7691 2.7683 2.7691 2.7652 0.0039 2.77 19 2.7612 2.7623 2.8740 2.7736 2.8740 2.7612 0.1128 2.79 20 2.7598 2.7741 2.7708 2.7603 Note that for n=4. R-bar x-barbar 0.7290 ? ? Use F9 to recalculate Calculate the Upper Control Limit and place it in cell I33 UCL LCL Calculate the Lower Control Limit and place it in cell J33 ? ? Below is the initial set of sample outcomes for the next twenty periods.

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