We present a measurement of the mass of the top quark using data from proton-antiproton collisions recorded at the CDF experiment in Run II of the Fermilab Tevatron. Events are selected from the single lepton plus jets final state ($t\bar t \to W^+b W^-\bar{b} \to \ell\nu b q \bar{q}' \bar{b}$). The top quark mass is extracted using a calculation of the probability density for a $t\bar t$ final state to resemble a data event. This probability density is a function of both top quark mass and energy scale of calorimeter jets, constrained \it{in situ} with the hadronic $W$ boson mass. Using 167 events observed in 955 pb$^{-1}$ integrated luminosity, we achieve the single most precise measurement of top quark mass to date of 170.8 $\pm$ 2.2 (stat.) $\pm$ 1.4 (syst.) GeV/c$^2$, where the quoted statistical uncertainty includes uncertainty from the determination of the jet energy scale. Posted to /cdf/pub/thesis/cdf8793_mohr_thesis.ps http://www-cdf.fnal.gov/thesis/cdf8793_mohr_thesis.ps Posted by mohr