What is the process that would most likely be responsible for the movement of glucose from inside the artificial cell to the solution outside of the cell?

This is easily diffusion. Osmosis is the movement of water to help keep the balance of water inside and outside a cell. However, diffusion occurs when there are small particles that can easily move across the cell membrane. It’s a slow process, but that glucose in the cell will slowly move out of the cell until the concentrations are roughly equal inside and outside the cell.

Active transport is something that would only happen if the glucose was too big to fit through the provided channels in the cell membrane. As for endocytosis, that is the process of taking things in and forming a vacule inside the cell. That is not what this cell wants to do with the glucose.

Diffusion is the process whereby a substance moves from an area of higher concentration to an area of lower concentration. In this setup, the dialysis tubing contains the glucose concentration of higher concentration whereas the solution outside is of lower concentration. The glucose moves from inside the tubing to the outside via diffusion. However, if we talk of the water concentration.

Water is present in higher concentration outside the tubing than inside it. This means that water will move from outside to the inside and this reverse process is called osmosis. The difference between them is that one involves glucose while the other uses water.