  Recent measurements of the single inclusive jet cross section at the Tevatron
by the CDF Collaboration maybe suggest a modified picture of QCD in the large
$E_T$ range. One possible explanation of the measured jet excess is the
introduction of a neutral heavy vector boson $Z'$. A parameter fit of this new
model to the CDF data, in leading order perturbation theory, is performed, and
the question of how the corresponding single inclusive jet cross sections and
the dijet angular distributions at the LHC are affected by this additional $Z'$
is discussed. We conclude that the $Z'$ will play a pivotal role for typical
LHC centre-of-mass energies, thus providing a direct test of this theory.
