Final answer:
The statement is true; a relation schema R is in 2NF if every non-prime attribute in R is fully functionally dependent on the primary key.
Step-by-step explanation:
The student asked whether the statement "A relation schema R is in 2NF if every non-prime attribute A in R is functionally dependent on the primary key" is true or false. To answer, this statement is true. The definition of the Second Normal Form (2NF) in the context of database normalization is that a relation schema is in 2NF if it is first in First Normal Form (1NF) and additionally, every non-prime attribute is fully functionally dependent on the primary key, and not just on a part of it (in case of composite primary keys).
For example, consider a database with a relation schema R({A, B, C}, {AB->C}). Here, {A, B} is the composite primary key and C is a non-prime attribute. If C depends on both A and B together, and not on A or B alone, then R is in 2NF.