The correct statement that describes the connection between the temperature change and the transfer of kinetic energy is:
The cup with the greatest temperature change has the greatest transfer of kinetic energy, and this transfer occurs from the water to the ice.
This is because when ice is added to the water, it absorbs heat energy from the water as it melts, resulting in a temperature decrease of the water. The greater the temperature change in the water, the more kinetic energy (heat) has been transferred from the water to the ice.