Background: The Etruscan civilization () is the modern name given to a powerful and wealthy civilization of ancient Italy in the area corresponding roughly to Tuscany, western Umbria and northern Lazio. As distinguished by its unique language, this civilization endured from before the time of the earliest Etruscan inscriptions (c. 700 BC) until its assimilation into the Roman Republic, beginning in the late 4th century BC with the Roman-Etruscan Wars. Culture that is identifiably Etruscan developed in Italy after about 800 BC, approximately over the range of the preceding Iron Age Villanovan culture. The latter gave way in the 7th century BC to a culture that was influenced by Ancient Greek culture.
Context: Knowledge of the Etruscan language is still far from complete. The Etruscans are believed to have spoken a non-Indo-European language; the majority consensus is that Etruscan is related only to other members of what is called the Tyrsenian language family, which in itself is an isolate family, that is, unrelated directly to other known language groups. Since Rix (1998), it is widely accepted that the Tyrsenian family groups Raetic and Lemnian are related to Etruscan.  No etymology exists for Rasna, the Etruscans' name for themselves, although Italian historic linguist Massimo Pittau has proposed the meaning of 'Shaved' or 'Beardless', backing the opinion of ancient figurines collector and author Paolo Campidori. The etymology of Tusci is based on a beneficiary phrase in the third Iguvine tablet, which is a major source for the Umbrian language. The phrase is turskum ... nomen, "the Tuscan name", from which a root *Tursci can be reconstructed. A metathesis and a word-initial epenthesis produce E-trus-ci. A common hypothesis is that *Turs- along with Latin turris, "tower", come from Greek tursis, "tower." The Tusci were therefore the "people who build towers" or "the tower builders." This venerable etymology is at least as old as Dionysius of Halicarnassus, who said "And there is no reason that the Greeks should not have called them by this name, both from their living in towers and from the name of one of their rulers."  Giuliano and Larissa Bonfante (Bonfante, 2002) speculate that Etruscan houses seemed like towers to the simple Latins. It is true that the Etruscans preferred to build hill towns on high precipices enhanced by walls. On the other hand, if the Tyrrhenian name came from an incursion of Sea Peoples or later migrants, then it might well be related to the name of Troy, the city of towers in that case.
Question: What language did they speak?

Answer:
a non-Indo-European language; the majority consensus is that Etruscan is related only to other members of what is called the Tyrsenian language family,