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Binomial Distribution Modeling: Defective Part Rate in Manufacturing

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Please help with the following problem.

A manufacturer has determined that on one of its assembly lines, the defective part rate is 60000 PPM (Parts Per Million), corresponding to a probability of producing a defective part of 6%. You are a Quality Engineer and told by the manufacturer's accountants that they can afford for you to take a sample of 20 parts every hour to aid in determining the actual number of defectives at that time, but they can afford no greater disruption to production. What is the minimum number of defective parts you need to find in the sample to support management's decision to shut down the line if, within a 95% confidence interval, your evidence suggests the tolerant 60000 PPM rate has been exceeded? The company uses Microsoft products as an office standard, so you are required to use Excel to present your reasoning.

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Solution Summary

Excel's binomial function modeling a null hypothesis test in a completed spreadsheet is used to explore application of basic probability of this story problem and its implications.

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3 4 5 5 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 3 5 4 4 5 4 4 4 5 5

5. A study is conducted using only Boeing 737s traveling 500 miles on comparable routes during the same season of the year. Can the number of passengers predict the cost of flying such routes? It seems logical that more passengers result in more weight and more baggage, which could, in turn, result in increased fuel consumption and other costs. The data are the costs and associated number of passengers for twelve 500-mile commercial airline flights
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