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I recently took my signature truck to the scales and got 6900 lbs empty. I figure my service body weighs 2 to 3 hundred lbs more than a standard truck bed. Figure another 100 lbs for the automatic transmission, and another 3-4 hundred for the longer wheelbase. That should put the OP's truck at right around 6000 to 6200 lbs.
Well I had my 99 and my 02 (250 4x4 V10 Super Cab Auto) weighed in at 6450 also with full tank of gas. That makes three of us that are right on the same mark practically. So to the OP, unless you weigh it you are probably within + or - 100 pounds of 6000.