Some such scholarships may be automatic for stats (but these are becoming less common; many of those listed in the page linked from reply #6 are no longer offered, smaller, or competitive now) while others are competitive (and any listed stats are merely eligibility stats and do not mean that you will get the scholarship). While automatic-for-stats scholarships can be safeties if you meet the stats, large competitive scholarships should be considered reaches.
Depending on your state of residency, some in-state public schools may offer better financial aid and scholarship opportunities that are not available to non-residents.