Well known archeologist Lorenzo Nigro PhD directed an excavation at Jericho.
Grain seeds from the final Canaanite city were tested for Carbon-14 levels. Two samples of grain from layers associated with the destruction of the city were tested. Apparently each sample provided a different dating result;
one sample dated to 1347 BC ± 85 years
one sample dated to 1597 BC ± 91 years
Taken individually the samples give inconclusive dating results.
If the dating results are averaged the “combined result” gives; 1472 BC
According to the Biblical account the exodus occurred approximately 40 years before the destruction of Jericho. If the combined dating result is reasonably accurate, this would give an approximate date for the exodus as; 1513 BC.