jmoore

I don't think the brown tips to the leaves are a consequence of not enough water.

I think you could be over watering. I would suggest repotting the plant (it will be fine don't worry) before you repot it wash the soil off the roots and repot the plant in a more free draining mix, 50:50 perlite and compost or similar. This will allow respiration for the roots. Water from the bottom as Ante suggested.

Our dear friend Tog told me that ensete don't like to be saturated with water. So be sparing with it, this will also encourage the plant to grow more roots.