Question: The Nördlinger Hut (German: "Nördlinger Hütte" ) is an Alpine Club hut belonging to the German Alpine Club that is situated at a height of  m (AA) south of the summit of the Reither Spitze in the Austrian state of Tyrol, it is located in the westernmost part of the Karwendel Alps, the Erlspitze Group, above the village and ski resort of Seefeld, it's an old farming village, now a major tourist resort, in Innsbruck-Land District in which Austrian state?
Sentence (from "Seefeld in Tirol"): The municipality, which has been the venue for several Winter Olympics Games, is the home village of Anton Seelos, the inventor of the parallel turn.
Relevant evidence: No