Check this site out
http://tassieweather.org/forum/ or
http://weatherzone.com.auThe first site is a forum address for Tassie weather forums - only a small group but if any "exciting" weather is looming it will often get a run there. The second site has lots of weather info and plenty of weathernuts (like me) gabbing on as well.
As johnw said if you're in for a week - a change in the weather is highly likely. Changes flick through Tassie much more often than you would be used to in Qld.
It might be warm and sunny most of the time - but equally possibly it might not and for a Qld'er not used to Tassie temps it might seem VERY cold to you at some point.
Check climate averages for Liawenee for a good idea of likely temps at the time of your trip.
Actually just checked - Lake St Clair averages approx 3.5 overnight and just over 15 daytime in Nov. BUT Great Lake/Liawenee is 300m higher and therefore colder than Lake St Clair.
For the walls I would guess an overnight avg of maybe 2 ish and day time max maybe 9 to 13. - Mt Wellington @ 1275 metres is 1.5 and 9.2. So use some of these temp ranges as a guide - it might be warmer but it might be colder too.
Be prepared for warm and cold and wet and then enjoy an absolutely incredible area.