Needing one run to win off the final ball, Stanlake dispatched fellow Queenslander Ben Cutting to the on-side boundary to seal Sunrisers’ second straight victory to start the tournament.
Watch Stanlake's IPL heroics
Rashid was named Player of the Match for his outstanding spell with the ball.
The teenage leg-spinner proved almost impossible for the Mumbai Indians batsmen to get away, finishing with figures of 1/13 with an economy rate of just 3.25. He delivered an incredible 18 dot balls from his four overs.
Stanlake also contributed with two wickets, dismissing dangerous opener Rohit Sharma for 11 and former Strikers teammate Kieron Pollard for 28.
The pair rank first and second for dot balls bowled in IPL 11 thus far.