I am trying to compute the percentage of a normal population with unknown mean and unknown variance which lies outside of specified limits at a specified level of confidence. The SAS software computes the tolerance interval which gives the limits of a speficied percentage of the population at a specified level of confidence but does not seem to do the reverse as best as I can tell. Also in my case, the limits are an input and the percentage of the population is an output. Can anyone provide guidance on making this computation correctly.
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