The new statistical analysis presented in this paper shows that the bristle cone pine calibration of the radiocarbon time-scale is not incompatible with the given Egyptian historical chronology in the period 3000-300 B.C. (calendar years). It is the first to allow for possible additional variability in the radiocarbon dates of short-lived samples (due to allow for possible additional variability in the radiocarbon dates of short-lived samples (due to short-term fluctuations in the atmospheric carbon-14 level), and to examine the effect of changes in the precision ascribed to the historical dates of the samples. Furthermore, the paper examines the reasons for the conflicting conclusions obtained in previous analyses, and uses the differences in the paired radiocarbon dates on the Egyptian samples toinvestigate the overall repeatability of these radiocarbon measurements. -- AATA