We study some phenomenological constraints on the parameters of a left
-right model with mirror fermions that solves the strong CP problem. I
n particular, we evaluate the contribution of mirror neutrinos to the
invisible Z decay width (Gamma(Z)(inv)), and we find that the present
experimental value on Gamma(Z)(inv), can be used to place an upper bou
nd on the Z-Z' mixing angle that is consistent with limits obtained pr
eviously from other low-energy observables. In this model the charged
fermions that correspond to the standard model mix with its mirror cou
nterparts. This mixing, simultaneously with the Z-Z' one, leads to mod
ifications of the Gamma(Z-->f (f) over bar) decay width. By comparing
with CERN LEP data, vie obtain bounds on the standard-mirror lepton mi
xing angles. We also find that the bottom quark mixing parameters can
be chosen to fit the experimental values of R-b, and the resulting val
ues for the Z-Z' mixing angle do not agree with previous bounds. Howev
er, this disagreement disappears if one takes the more recent ALEPH da
ta.