No, you shouldn't be in the left lane unless you're passing. From wiki
Correct. When traveling on a three lane highway your right lane is for merging, center for travel and left for passing. That rule applies for cars and private personal vehicles. The road rules for larger trucks however vary differently.
Over the Atchafalaya Basin (I-10 from Baton Rouge to Lafayette), all trucks must keep to the right lane. Of course I-10 is only a four-lane highway, and it's a bridge the entire length. Not much room for driver error.
If the US ever had a 180 mph speed limit, our poster muon2 can move his large hadron collision experiment from Fermilab to I-95 South.