Questions for Thought
M&M’s weigh 0.86 grams on average with SD = 0.04 grams, so the coefficient of variation is 0.04/0.86 ≈ 0.047. Suppose that we decide to label packages by count rather than weight. The system adds candy to a package until the weight of the package exceeds a threshold. How large would we have to set the threshold weight to be 99.5% sure that a package has 60 pieces?
Suppose the same system is used (packaging by count), but this time we only want to have 10 pieces in a package. Where is the target weight? (Again, we want to be 99.5% sure that the package has at least 10 pieces.) What assumption is particularly relevant with these small counts?
In which situation (10 pieces or 60 pieces) would the packaging system be more likely ...
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