  A one dimensional experiment in granular dynamics is carried out to test the
thermodynamic theory of weakly excited granular systems [Hayakawa and Hong,
Phys. Rev. Lett. {\bf 78}, 2764(1997)] where granular particles are treated as
spinless Fermions. The density profile is measured and then fit to the Fermi
distribution function, from which the global temperature of the system, T, is
determined. Then the center of mass, <z(T)>, and its fluctuations, <(\Delta
z(T))^2>, are measured and plotted as functions of T. The Fermi function fits
the density profile fairly well, with the value of T being fairly close to the
predicted value. The scaling behavior of <z(T)> and <(\Delta z(T))^2> is in
excellent agreement with the theory.
