"to see if you mailed it"
i just want to make sure you know that TurboTax does not mail any returns for you. YOU are the one who had to print, sign, and mail it. So from your sentence, it's not clear who the "you" is that you refer to. So, hopefully, you did mail it.
Four weeks is how long the IRS specifies on it's website. You'll see that notice there when you go to the "Where's My Refund" tool and scroll down about half page. That doesn't necessarily mean it will take that long. It's unpredictable exactly what day it will show up.
