University of Louisville researchers examined the process of filling plastic pouches of dry blended biscuit mix (Quality

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University of Louisville researchers examined the process of filling plastic pouches of dry blended biscuit mix (Quality Engineering, Vol. 91, 1996). The current fill mean of the process is set at μ = 406 grams, and the process fill standard deviation is σ = 10.1 grams. (According to the researchers, "The high level of variation is due to the fact that the product has poor flow properties and is, therefore, difficult to fill consistently from pouch to pouch.") Operators monitor the process by randomly sampling 36 pouches each day and measuring the amount of biscuit mix in each. Consider x, the mean fill amount of the sample of 36 products. Suppose that on one particular day, the operators observe x̅ = 400.8. One of the operators believes that this indicates that the true process fill mean μ for that day is less than 406 grams. Another operator argues that μ = 406, and the small value of x observed is due to random variation in the fill process. Which operator do you agree with? Why?

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Statistics For Business And Economics

ISBN: 9780134506593

13th Edition

Authors: James T. McClave, P. George Benson, Terry Sincich

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