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You currently work as Supply Chain Manager with responsibility for Production at ABC Corporation, a world leader in the fabrication of high-strength construction steel rods.

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You currently work as Supply Chain Manager with responsibility for Production at ABC Corporation, a world leader in the fabrication of high-strength construction steel rods. The daily production at your facility is currently stable and 100% of the production is within acceptable limits for your current customers. The outside diameters of your products range between 15.340 and 18.819. After you had finished today's production run, you were about to leave the office when a potential new customer contacted your company to inquire about a potential SPOT purchase of 100% of tomorrow's product run, but only if the outside diameter is within 17.400 and 18.000. There is no time to make any changes to your equipment. You have explained to your potential new customer that at the end of tomorrow's run you will inform them if tomorrow's production run was within their required limits. Your Sales Director has asked you what is the probability that tomorrow's production run is within their required limits for you to make the sale. You have gathered information from the last 150 days of the daily production runs, including today's run to make this determination. You have plotted your data for visual reference against the potential customer's requirements. The required Lower Specification Limit is 17.400 and the required Upper Specification Limit is 18.000. 18 UB=18 LB=17.4 Individual Value X=17.000 16 15 16 31 46 61 76 91 106 121 136 ObservationProduction Outside Production Outside Production Outside Production Outside Production Outside Day Dia. Day Dia. Day Dia. Day Dia. Day Dia 16.90 Day 31 5.54 Day 61 16.14 Day 91 15.34 Day 121 16.52 Day 1 Day 2 16.54 Day 32 16.28 Day 62 15.37 Day 92 16.21 Day 122 16.36 Day 3 17.32 Day 33 18.18 Day 63 16.46 Day 93 16.32 Day 123 15.99 Day 4 17.32 Day 34 16.79 Day 64 16.10 Day 94 17.08 Day 124 17.26 Day 5 16.73 Day 35 17.74 Day 65 16.06 Day 95 16.57 Day 125 16.70 Day 6 17.18 Day 36 16.86 Day 66 16.61 Day 96 17.76 Day 126 16.22 Day 7 17.38 Day 37 17.47 Day 67 6.80 Day 97 16.13 Day 127 17.18 Day 8 18.67 Day 38 17.22 Day 68 18.16 Day 98 16.48 Day 128 17.37 Day 9 17.50 Day 39 17.11 Day 69 17.93 Day 99 16.75 Day 129 17.13 Day 10 17.80 Day 40 16.73 Day 70 18.23 Day 100 18.40 Day 130 18.02 Day 11 80'8 Day 41 16.00 Day 71 16.69 Day 101 17.10 Day 131 16.79 Day 12 17.28 Day 42 15.97 Day 72 16.32 Day 102 18.01 Day 132 16.71 Day 13 16.72 Day 43 16.44 Day 73 18.10 Day 103 16.18 Day 133 16.65 Day 14 16.98 Day 44 17.52 Day 74 16.82 Day 104 17.02 Day 134 16.80 Day 15 16.72 Day 45 16.41 Day 75 17.18 Day 105 16.67 Day 135 17.73 Day 16 18.82 Day 46 17.20 Day 76 17.59 Day 106 6.33 Day 136 18.06 Day 17 17.35 Day 47 17.78 Day 77 16.54 Day 107 15.87 Day 137 18.69 Day 18 17.08 Day 48 17.31 Day 78 16.70 Day 108 17.01 Day 138 16.38 Day 19 16.40 Day 49 17.76 Day 79 16.99 Day 109 16.8 Day 139 17.85 Day 20 17.29 Day 50 17.33 Day 80 16.46 Day 110 17.02 Day 140 17.48 Day 21 8.25 Day 51 18.17 Day 81 17.50 Day 111 17.19 Day 141 17.42 Day 22 16.82 Day 52 17.57 Day 82 16.50 Day 112 16.22 Day 142 17.05 Day 23 17.09 Day 53 16.47 Day 83 16.48 Day 113 16.66 Day 143 16.5 Day 24 17.04 Day 54 16.88 Day 84 17.29 Day 114 16.90 Day 144 16.61 Day 25 16.53 Day 55 16.70 Day 85 17.59 Day 115 17.23 Day 145 16.20 Day 26 17.36 Day 56 18.22 Day 86 16.25 Day 116 16.65 Day 146 17.26 Day 27 17.04 Day 57 17.63 Day 87 16.37 Day 117 16.31 Day 147 17.71 Day 28 17.68 Day 58 15.72 Day 88 18.26 Day 118 16.10 Day 148 17.04 Day 29 17.46 Day 59 17.68 |Day 89 16.38 Day 119 16.19 Day 149 15.70 Day 30 17.47 Day 60 17.60 Day 90 17.58 Day 120 17.36 Day 150 16.0

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