We observed Ramsey resonance signals from an optically pumped cesium atomic clock and compared them with the theoretical results calculated from the Ramsey transition probabilities. The theoretical results were in good agreement with the experimental results when the weighting factor of $1/{ u}$ was taken into account to the Maxwellian distribution of velocities in the atomic beam. It was also found that the clock transition signal of Rabi-Ramsey spectra can be greatly enhanced by using two lasers with the proper polarizations as pumping sources of cesium atoms.