Phoenix outshot the Ducks 46-21 overall and 38-6 in the first two periods.
Coyotes coach Wayne Gretzky, whose $8.5 million contract for 2009-10 is part of a bankruptcy dispute being adjudicated in a Phoenix court, missed his fourth straight game. Associate coach Ulf Samuelsson ran the team.
Mueller scored on a slap shot from just inside the blue line on a power play to give the Coyotes a 1-0 lead with 9:03 remaining in the first period.
Hoggan made it 2-0 53 seconds later, when he beat Timo Peilmeier to the far corner from the right circle.
Phoenix outshot Anaheim 30-2 in the first period, and the final Ducks' shot came from center ice as time expired.
Vandermeer scored from outside the right circle to give Phoenix a 3-0 lead with 18 seconds remaining in the second when new goalie Jean-Philippe Levasseur was screened by Brett MacLean.
Lupul scored Anaheim's first goal on a power play with 9:51 remaining during a 5-minute major and a game misconduct penalty on defenseman Francis Lessard.
Sexton scored with 7:00 remaining to make it 3-2, and Lupul tied it with 1:10 left. All the scoring came off backup goalie Josh Tordjman, who replaced Al Montoya to start the third period.
Copyright by STATS LLC and The Associated Press
Arena: Gila River Arena Location: Glendale, Arizona