  We show that two intriguing features of mesoscopic transport, namely the
modulation of Coulomb blockade peak-heights and the transmission phase-lapses
occurring between subsequent peaks, are closely related. Our analytic arguments
are corroborated by numerical simulations for chaotic ballistic quantum dots.
The correlations between the two properties are experimentally testable. The
statistical distribution of the partial-width amplitude, at the heart of the
previous relationship, is determined, and its characteristic parameters are
estimated from simple models.
