As sterile neutrinos have low mass and might interact in neutrino oscillations at low energies, this looks promising, but just 3 sigma is not enough. It should be 5, as this is hard science not sociology or medical research.
But, there are many theories about sterile neutrinos, and some observations:
http://arxiv.org/find/all/1/all:+EXACT+Sterile_neutrino/0/1/0/all/0/1
Only experiments will exclude the bad ones, although many elegant theories will stay alive too long.