No, it is assumed that Jesus spoke Aramaic. I don't hold that assumption to be true.
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Sorry, but most scholars believe that Jesus and His apostles spoke Aramaic.
Your opinion is in the distinct minority. Where is the evidence that this was the case? Also, it's not an “assumption” that Jesus spoke Aramaic. It's a conclusion drawn from the evidence.
http://en.wikipedia.org/wiki/Aramaic_of_Jesus
John 1:42 and Matthew 27:46 should pretty much clear it up.
Not anymore... The Dead Sea Scrolls changed everything...