The present standard model fit of precision data has a low confidence level
, and is characterized by a few inconsistencies. We look for supersymmetric
effects that could improve the agreement among the electroweak precision m
easurements and with the direct lower bound on the Higgs mass. We find that
this is the case particularly if the 3.6 sigma discrepancy between sin(2)
theta (eff) from leptonic and hadronic asymmetries is finally settled more
on the side of the leptonic ones. After the inclusion of all experimental c
onstraints, our analysis selects light sneutrinos, with masses in the range
55 - 80 GeV, and charged sleptons with masses just above their experimenta
l limit, possibly with additional effects from light gauginos. The phenomen
ological implications of this scenario are discussed.