We analyze a sample of W + jet events collected with the Collider Detector at Fermilab (CDF) in ppbar collisions at sqrt s = 1.8 TeV to study ttbar production. We employ a simple kinematical variable H, defined as the scalar sum of the transverse energies of the lepton, neutrino, and jets. For events with a W boson and four or more jets, the shape of the H distribution deviates by 3.8 standard deviations from that expected from known backgrounds to ttbar production. However, this distribution agrees well with a linear combination of background and ttbar events, the agreement being best for a top mass of 180 GeV/c^2.