STATEMENT-1:
The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume

STATEMENT-2:
The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.
 

The total translational kinetic energy of all the molecules of a gas  is given as
$E=\frac{3}{2}nRT=\frac{3}{2}PV$
Thus statement-1 is correct .In a gas ,molecule are in Brownian motion and travel randomly in all directions and at every collision direction of motion changes so velocity changes .Thus statement -1 and 2 are true but statement-2 is not explanation for statement-1.