Its quite easy to check, use a battery applied positive to the red terminal and negative to the black should produce a outward movement of the woofer cone.
You can do the same to the tweeter but it will require opening up the speaker and applying the battery voltage after the crossover. I don't know if the Arro is designed so that the tweeter is in electrical phase with the woofer, ie positive voltage to the positive wire produces an outward movement of the dome but if you check both they should be identical.
I've had a few Totems through here for repair and the tweeters are wired with a fine gauge solid core silver teflon insulated wire that's twisted with both the positive and negative wires of the same color (purple on the ones that were here) so a mis-wiring is a possibility. I'm sure Totem has a stringent QC program, but as Steve stated stranger things have happened.
Best of luck
Peter