Statement I: If the medium between two charges is replaced by another medium of greater dielectric constant, then the electric force between them decreases.
Statement II: Electric dipole moment varies inversely as the dielectric constant.

In a medium,

${\mathrm{F}}_{\mathrm{m}}=\frac{\mathrm{F}}{\mathrm{K}}$

From above expression it is quite clear that greater the value of K smaller is the force between the two charges. Electric dipole moment is directly proportional to dielectric constant. Polarization is dipole moment per unit volume. Since polarization varies proporticnally to dielectric constant, so does the dipole moment. 

Note: We will discuss this in chapter Magnetism and Matter.