A student applies a 1.5 n horizontal force

A student applies a 1.5 N horizontal force on a box of weight
20N on a floor. The static friction coefficient is 0.3. Does the
box move? Explain your reasoning and SHOW WORK! Thank you!

Horizontal force applied on the box is
Weight of box
Normal force on the box is
minimum frictional force necessary to move the box is

which is greater than the applied horizontal force.
So the box does not move.