Tolerance Limits which Control Percentages in Both Tails: Sampling from Mixtures of Normal Distributions

Abstract A study is made of the effects of nonnormality on the tolerance limits which control percentages in both tails. The type of nonnormality considered here is the mixtures of normal populations. The conclusions we have arrived at are that the effect of sampling from such a population is essentially to raise the value of γ. For the prescribed level of γ to be achieved, in the equal percentage case, the value of k is smaller than that of …