Was probably by a man, but not necessarily a priest, and maybe even by a woman, in Judah, .
By Friedman's attributions, the Jahwist texts don't mention the Levites, the Plagues, the Tabernacle, or circumcision. (See the Richard Friedman Interview.)
By Wellhausen's attributions, the Jahwist texts do mention circumcision (see Gen. 34) and the Plagues.
The Jahwist texts portray God as having human form, which was typical of the faiths prior to Atenism, in which gods were like rulers — capable of anger, error, and corruption. The Elohist tradition was more like Atenism, in that God was more abstract, and while capable of assuming a human form, God is everything.