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The lattice QCD studies indicate that the critical temperature $T_c \simeq260-280$ MeV of the deconfinement phase transition in quenched QCD isconsiderably smaller than the lowest-lying glueball mass $m_{\rm G} \simeq1500-1700$ MeV, i.e., $ T_c \ll m_{\rm G}$. As a consequence of this largedifference, the thermal excitation of the glueball in the confinement phase isstrongly suppressed by the statistical factor as $e^{-m_{\rm G}/T_c} \simeq0.00207$ even near $T \simeq T_c$. We consider its physical implication, andargue the abnormal feature of the deconfinement phase transition in quenchedQCD from the statistical viewpoint. To appreciate this, we demonstrate astatistical argument of the QCD phase transition using the recent lattice QCDdata. From the phenomenological relation among $T_c$ and the glueball mass, thedeconfinement transition is found to take place in quenched QCD before areasonable amount of glueballs is thermally excited. In this way, quenched QCDreveals a question ``what is the trigger of the deconfinement phase transition?''Comment: 6 pages, 4 figure

A remark on the large difference between the glueball mass and Tc in quenched QCD