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Possible outcomes of neutrino events at both Super-Kamiokande and SNO for atype-II supernova are analyzed considering the uncertainties in SN neutrinospectra (temperature) at emission, which may complicate the interpretation ofthe observed events. With the input of parameters deduced from the currentsolar and atmospheric experiments, consequences of direct-mass hierarchy$m_{\nu_{\tau}} \gg m_{\nu_{\mu}} > m_{\nu_{e}}$ and inverted-mass hierarchy$m_{\nu_{e}} > m_{\nu_{\mu}} \gg m_{\nu_{\tau}}$ are investigated. Even if the$\nu$ temperatures are not precisely known, we found that future experimentsare likely to be able to separate the currently accepted solutions to the solarneutrino problem (SNP): large angle MSW, small angle MSW, and the vacuumoscillation, as well as to distinguish between the direct and inverted masshierarchies of the neutrinos.Comment: 14 pages, 5 figuress; changed content; added reference for section 1.  To appear in Phys. Rev. D (01 April 2000 issue

Effects of neutrino temperatures and mass hierarchies on the detection of supernova neutrinos