The unsteady squeezing hydrodynamics of lubrication between two rough parallel plates is analyzed here, which can be modified to represent a hip-joint, where in different moments can be numerically modelled. The stochastic model of Christensen and Tonder has been deployed here to evaluate the effect of surface roughness. Also the effect of roughness parameters on different moments is numerically modelled. The associated stochastically averaged Reynolds equation is solved to obtain the pressure distribution. The results obtained here are presented in graphical forms. The graphical representation establishes that the standard deviation associated with roughness has significant impact. Further it is observed that the situation remains relatively better in the case of negatively skewed roughness. This effect advances when variance (-ve) occurs.