Gravitational waves emitted by neutron star black hole mergers encode key
properties of neutron stars -- such as their size, maximum mass and spins --
and black holes. However, the presence of matter and the high mass ratio makes
generating long and accurate waveforms from these systems hard to do with
numerical relativity, and not much is known about systematic uncertainties due
to waveform modeling. We simulate gravitational waves from neutron star black
hole mergers by hybridizing numerical relativity waveforms produced with the
SpEC code with recent numerical relativity surrogate waveforms. These signals
are analyzed using a range of available waveform families, and statistical and
systematic errors are reported. We find that at a network signal-to-noise ratio
(SNR) of 30, statistical uncertainties are usually larger than systematic
offsets, while at SNR of 70 the two become comparable. All neutron stars in our
simulations are non-spinning, but in no case we can constrain the neutron star
spin to be smaller than $\sim0.4$ (90% credible interval). The individual black
hole and neutron star masses, as well as the mass ratios, are typically
measured very precisely, though not always accurately at high SNR. At a SNR of
30 the neutron star tidal deformability can only be bound from above, while for
louder sources it can be measured and constrained away from zero. Waveform
families whose late inspiral has been tuned specifically for neutron star black
hole signals yield measurements which are in tension with those obtained using
waveform families tuned against binary neutron stars, even for mass ratios that
could be relevant for both binary neutron stars and neutron star black holes
mergers.