The writer presents a measurement of the t(bar t) production cross section at (radical)s = 1.96 TeV using 2034 pb(sup -1) of CDF Run II data using events with a high transverse momentum electron or muon, three or more jets, and missing transverse energy. The measurement assumes a t (yields) Wb branching fraction of 100 percent. Events consistent with t(bar t) decay are found by identifying jets containing heavy-flavor semileptonic decays to muons. The dominant backgrounds are evaluated directly from the data. Based on 248 candidate events and an expected background of 86.8 (+-) 5.6 events, he measures a production cross section of 8.7 (+-) 1.1(sub -0.8)(sup +0.9) (+-) 0.6 pb, in agreement with the Standard Model.