  We present moderate resolution data for 39 QSOs at z $\approx$ 2 obtained at
the Multiple Mirror Telescope. These data are combined with spectra of
comparable resolution of 60 QSOs with redshifts greater than 1.7 found in the
literature to investigate the distribution of Ly-alpha forest lines in redshift
and equivalent width. We find a value for $\gamma$, the parameter describing
the number distribution of Ly-alpha forest lines in redshift, of $1.88\pm0.22$
for lines stronger than a rest equivalent width of 0.32 $\AA$, in good
agreement with some previous studies. The Kolmogorov-Smirnov test was applied
to the data and it is found that this single power law is a good fit over the
relevant redshift ranges. Simulations of the Lyman alpha forest were performed
to determine the completeness of the line lists and to test how well the
analysis the underlying line statistics, given this level of completeness.
