A product development group determines that it must have a fiber, which among other properties, has a minimum tensile strength of 2.500 gm in 99% of the fiber used.
Manufacturer X offers to supply such fiber and a contract is arranged.
Manufacturer X knows that the standard deviation for the process is 0.020 gm.
What minimum aimed at value of the mean is required to assure compliance with the contract?
Assume the process is in statistical control and the distribution is normal.
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