Is it safe to say that in a UML class diagram, if there is an association of n to 1 objects, then the association arrow is pointing from the class associated with n objects to the class associated with 1 object?
n ----> 1
Not in general. The arrow direction in UML corresponds to navigation possiblities. Hence, if your arrow points from the n objects to the 1 object it means that in your resulting code each of the n objects can access that 1 object. Of course you may also want an association in which that 1 object can access the n objects, so the arrow points in the different direction. (If no arrowhead is given it means that the n objects can access the 1 object and vice versa.)