A composite model of fermions is proposed to explain the ''anomaly'' i
n Z --> <b(b)over bar> and, to a lesser extent, in Z --> <c(c)over bar
>. It contains a nonsequential fourth family whose mass of one member
(the charge - 1/3 quark) is constrained to be between 47 GeV and 49 Ge
V. The charge + 2/3 quark is constrained to lie between 67 GeV and 107
GeV. This opens up the exciting prospect for near-future discoveries
at LEP2 and possibly at the Tevatron.