yes
Yes. Austria is best in the world in alpine skiing.
You can play most of the common sports in Austria but Austria is famous for its soccer and of course for the sports played in winter. skiing, snowboarding, ski-jumping and so on.
Skiing
Hiking and skiing are popular with children.
very high
In every country that have skiing on Glaciers for example France and Austria or in the southern hemisphere.
Cross-country: Norway Downhill: Austria
I think the highest skiing is at Soelden.
Innsbruck IS a city in Austria
One can get more information on skiing in Austria from the Austria website as well as Wiki Travel and Trip Adviser. Austria's mountain resorts are suitable for the skier and non skier and some of the regions include Innsbruck and Arlberg. The resorts also have wooden Ski Lodges to stay in.
A local travel agent will be able to search for a great skiing trip in Austria. Deals will also be able to be found and compared on websites such as Expedia and Snowtrex.
France followed by Austria, Switzerland and Italy.