a) Justification:

If the distributions of the two data have same shape then it is reasonable to use z-scores to compare the standings of the stident on the two tests relative to the other students in the graduating class.

Answer:

It is reasonable to use z-scores to compare the standings of the students on the two tests relative to the other students in the graduating class, if the distributions of the math and verbal SAT scores for the graduating class have approximately same shape.

If the distributions of the two data have same shape then it is reasonable to use z-scores to compare the standings of the stident on the two tests relative to the other students in the graduating class.

Answer:

It is reasonable to use z-scores to compare the standings of the students on the two tests relative to the other students in the graduating class, if the distributions of the math and verbal SAT scores for the graduating class have approximately same shape.