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To which value should the mean of packing the cans be set so that the waste related to the weight of package is less than

To which value should the mean of packing the cans be set so that the waste related to

the weight of package is less than 2%? The automatons can be set with a precision of 1 centigram.

Your answer should clearly represent your reasoning and/or include a graph suitable for the presentation of the problem.

We are now interested in the production of 100g packages. Once the mixture has been prepared, it is packaged by the automatons. The process includes: packing, sealing, weighing and disposal if the weight is less than 98.5g or bigger than 101.5g, sorting, labeling.

The automatons are the same as those used for the 85g packages. The standard deviation in packing, related to the technical processes, follows, also for the 100g packages, a normal distribution of the standard error equal to 0.8g.

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