We consider the decays of a correlated neutral-meson-antimeson state with Cparity +1. We show that there is CPT noninvariance in the mixing of the neutral mesons if, for any two decay modes f and g, the decay rate has a component R A which is antisymmetric under the interchange of the decay times t 1 and t 2 . In particular, one may cleanly extract the CPT-noninvariance parameter with the help of R A by using opposite-sign dilepton events.