Bailee is incorrect. The mass of the objects stays the same, but weight will change.
To clarify, mass is a measure of the amount of matter in an object and does not change regardless of location. Weight, on the other hand, is the force exerted on an object due to gravity and varies depending on the gravitational pull of the celestial body (like the Earth or the Moon) where the object is located. The weight of an object on the Moon is about 1/6th of its weight on Earth due to the Moon's weaker gravitational pull.