  We investigate a version of noncommutative QED where the interaction term,
although natural, breaks the spin-statistics connection. We calculate $e^- +
e^- -> e^- + e^-$ and $\gamma + e^- -> \gamma + e^-$ cross-sections in the tree
approximation and explicitly display their dependence on theta^{\mu \nu}.
Remarkably the zero of the elastic $e^- + e^- -> e^- + e^-$ cross-section at
90-degrees in the center-of-mass system, which is due to Pauli principle, is
shifted away as a function of theta^{\mu \nu} and energy.
