  We calculate total cross section for production of the $\Xi_{3/2}(1862)$
exotic baryon in $\bar{K}N \to K\Xi_{3/2}$ reaction assuming the following
spin-parity values of the $\Xi_{3/2}$ baryon 1/2+, 1/2-, 3/2+, 3/2-. We
demonstrate that the reaction total cross section strongly depends on the spin
of the $\Xi_{3/2}$ baryon.
