Part I of this paper was concerned with statistical tolerancing from the overall point of view. In particular it showed why and under what provisions one wants to find the distribution of the response of the mechanism being toleranced as a function of the tolerances of the components when they are random variables with known distributions. In Part II four general methods for estimating the moments of the response distribution are described: Section 1, linear propagation of error, otherwise known as stack tolerancing; Section 2, non-linear propagation of error; Section 3, the quadrature technique; and Section 4, the Monte Carlo approach. For each the realm of applicability and its advantages and disadvantages are examined. The use of each is illustrated by applying it to the sameπ-section attenuator as the mechanism being toleranced.