The name of the game is to be patient.
(The followings are what I heard from other EK guys and they may or may not be rock-solid facts)
Once you made it through the last day.
They need to get the outcome of all your 3 days performance, once that is okay then;
They wait for the English Test result. (Montréal, ICAO)
They wait for the Medical Test result. (Blood test, x-ray..etc)
They will pre-check with UAE immigration to ensure you and your family actually “CAN” and will be able to acquire UAE residency visa based on the information you provided.
They also check with Interpol to make sure that you are not listed or wanted.
Then they see if they can match a course date with your time frame (depending how long notice period was needed for your current employer).
During all of these they also check with your Refs...
So 4-6 weeks that they tell you is kind of realistic .....for me was exactly one month.
As other guys mentioned, add the month of Ramadan to this. (Working hours are reduced by the government).
Good luck and I hope you hear soon.