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PRODUCT QUALITY ATTAINMENT IN GRANULATION PROCESS
Granular products made from pan granulation processes are typically characterized by their particle size distributions (and bulk densities). Material produced in a particular month at a manufacturing site has a particle size distribution that is well-characterized by a lognormal dis- tribution with scale parameter α = 6.8 and shape parameter β = 0.5, i.e. X ∼ L(6.8, 0.5). The product quality requirements (in microns) isspeci?ed as 350 μm X 1650 μm, and the yield of the process is the percentage of the product meeting this requirement. To be pro?table, the manufacturing process yield must be at least 85% month-to-month.
(i) What is this month's process yield?
(ii) If particles for which X <>350 μm are classi?ed as "?nes" and can be recycled, how much of the material made during this month falls into this category?
The Secretary of Welfare hypothesizes that the average district office has 5% or fewer fraudulent or ineligible recipients. A sample of 10 offices reveals a mean of 4.7% with a standard deviation of 1.2%. What can be said about the secretarys hypo..
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