We have measured the T-90 and T-50 durations of bright and dim gamma-r
ay bursts detected by the Compton Gamma-Ray Observatory's Burst and Tr
ansient Source Experiment (BATSE). The T-90 (T-50) duration is defined
as the interval over which 5% (25%) to 95% (75%) of the burst counts
accumulate. Out of 775 bursts observed by BATSE, 159 bursts were analy
zed; bursts with durations shorter than 1.5 s were excluded. A Kolmogo
rov-Smirnov test yields a probability of 6 x 10(-5) that the T-50 dura
tions of the dim and bright samples are drawn from the same parent pop
ulation. We find that the centroid and extent of the duration distribu
tion for the dim sample are scaled by approximately a factor of 2 rela
tive to those of the bright sample. The measured time-dilation factor
is not sensitive to choice of energy band. These results are quantitat
ively consistent with previous tests for time dilation in a smaller sa
mple of BATSE bursts. The sources of dimmer bursts, if cosmological, w
ould lie at redshifts of order 2.