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Nocaf Drinks, Inc., a producer of decaffeinated coffee, bottles Nocaf in jugs for bulk distribution. Ideally, each jug should have a net weight of 4

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Nocaf Drinks, Inc., a producer of decaffeinated coffee, bottles Nocaf in jugs for bulk distribution. Ideally, each jug should have a net weight of 4 kilograms. However, the management team has decided that the acceptable range for the weight of a jug is 4 \pm 0.2 kilograms Bonnie Crutcher, the operations manager uses a control chart to monitor the fraction of jugs with weight outside the range of 40.2 kilograms. She randomly selects and weighs 8 samples (with each sample being 50 jugs) of jugs and records the number of jugs weighing more than 4+0.2 kilograms or less than 40.2 kilograms. The data is given in the following table. Note that every sample consists of 50 jugs. Find the upper control limit of the control chart Bonnie should use (confidence level 95.45\%). Note: 1- Only round your final answer to four decimal places

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