  We show that rejection of local realism in quantum mechanics can be tested by
Bell-type inequalities for two observers and low-order moments of continuous
and unbounded observables. We prove that one requires three observables for
each observer for a maximally entangled state and two observables for a
non-maximally entangled state and write down appropriate inequalities and show
violation by quantum examples. Finding an example for quadratures or position
and momentum is left as an open problem.
