  We present a measurement of the top-quark mass using a sample of $t\bar{t}$
events in 5.7 fb$^{-1}$ of integrated luminosity from $p\bar{p}$ collisions at
the Fermilab Tevatron with $\sqrt{s} =$ 1.96 TeV and collected by the CDF II
Detector. We select events having no identified charged leptons, large missing
transverse energy, and four, five, or six jets with at least one jet tagged as
coming from a $b$ quark. This analysis considers events from the semileptonic
\ttbar decay channel, including events that contain tau leptons. The
measurement is based on a multidimensional template method. We fit the data to
signal templates of varying top-quark masses and background templates, and
measure a top-quark mass of $\mtop = \gevcc{\measStatSyst{172.3}{2.4}{1.0}}$.
