From the analysis of the CII fine-structure population ratio in the damped
Ly_alpha system at z = 3.025 toward the quasar Q0347--3819 we derive an upper
bound of 14.6 (+/- 0.2) K on the cosmic microwave background temperature
regardless the presence of other different excitation mechanisms. The analysis
of the ground state rotational level populations of H_2 detected in the system
reveals a Galactic-type UV radiation field ruling out UV pumping as an
important excitation mechanism for CII. The low dust content estimated from the
Cr/Zn ratio indicates that the IR dust emission can also be neglected. When the
collisional excitation is considered, we measure a temperature for the cosmic
background radiation of T = 12.1 (+1.7, -3.2) K. The results are in agreement
with the T = 10.968 (+/-) 0.004 K predicted by the hot Big Bang cosmology at z
= 3.025.Comment: Accepte