Energy Surplus makes low-cost energy drinks, and they wanted to monitor their ca

Question

Energy Surplus makes low-cost energy drinks, and they wanted to monitor their caffeine content (mg) per bottle. They observed three separate bottles from 5 different batches to see if they were hitting their target of 35 mg per bottle. Based on the information given below, what is the R Bar Chart's Upper Control Limit? (Round answers to, two decimals) Bottle 1 34.96 34.17 34.93 34.17 34.28 Batch Bottle 2 35.22 33.64 33.87 33.74 35.37 Bottle 3 35.51 32.74 34.49 36.60 36.54 2 3 4 3.04 3.67 2.85 3.28

Explanation / Answer

Batch Bottle 1 Bottle 2 Bottle 3 Range 1 34.96 35.22 35.51 0.55 2 34.17 33.64 32.74 1.43 3 34.93 33.87 34.49 1.06 4 34.17 33.74 36.60 2.86 5 34.28 35.37 36.54 2.26 R bar 1.63 UCL = D4* R bar For subgroup size = 3, D4 = 2.574 UCL = 2.574*1.63 4.20

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