Mueller scored twice in the first half, and Sophia Schotts added a third goal to give the Norse a 3-0 lead at the break.
Mueller had two more goals in the second half, and Abby Grevel added another to complete the scoring.
Goalkeeper Bodie Collins posted the shutout. The Norse had a 16-3 advantage in shots.
North Muskegon is now 12-0 on the season.