Final answer:
The statement can be true if a molecule with a central atom has four electron groups leading to a tetrahedral structure, as seen in methane with its four hydrogen atoms bonded to carbon.
Step-by-step explanation:
The statement 'The following compound contains four tetrahedrally arranged atoms' can be true if a molecule has four electron groups about the central atom, which would orient them in a tetrahedral geometry. For example, methane (CH4) has a tetrahedral molecular structure because it has four hydrogen atoms bound to a central carbon atom. When there are four bonding electron groups with no lone pairs, the molecular geometry corresponds to the electron group geometry, resulting in a tetrahedral shape.