f your WebHost Manager (whm) panel looks like mine, then try the following:
Look in "Server Configuration".
Choose "Statistics Software Configuration".
Scroll down to "Statistics Processing Configuration Summary".
Click on "Configure Statistic Process Time Schedule".
Tick the boxes to denote the times during which stats should not be run.
Click "Save", and exit.
Look in "Server Configuration".
Click on "Tweak Settings".
Scroll down to "Stats Programs"; untick the boxes.
Scroll down to the bottom; click "Save", and exit.