  In a recent combined analysis of short baseline neutrino oscillation data by
Conrad et al it is shown that (3+3) neutrino model, defined by three active and
three sterile neutrinos, results in an overall goodness of $67\%$ and a
compatibility of $90\%$ among all data sets - to be compared to the
compatibility of $0.043\% $ and $13\% $ for a (3+1) and a (3+2) model,
respectively. Aside from the fact that (3+3) model still finds inconsistencies
with MiniBooNE appearance data sets, its high quality overall compatibility and
goodness of fit led us to study the atmospheric neutrinos in this model which
travel distances of thousands of kilometers through earth. We show that in this
mixing scheme matter resonance effect inside earth enhances the small vacuum
oscillations into near-maximal transitions and at high energies these maximal
transitions occur in the TeV range, whereas at low energies those can occur in
the few GeV region. We also calculate the zenith angle distributions of
$\nu_{\mu}^{CC}$(charged current) events in the 10 - 100 GeV energy range in
DeepCore sub-array of the IceCube Neutrino Observatory and comment on the
possibility of probing active neutrino mass hierarchy and six neutrino
scenario.
