For this problem and other problems on this exam, refer to the following situation: a screening test for new employees is normally distributed with a mean = 45 and a standard deviation = 3.

In many situations researchers want to know the cut-off scores between which 95% of test takers will fall and 5% of test takers will fall above or below. For this problem, what is the higher of the two cut-off scores? (The answer must be written as a number carried to twodecimal places. Write the final answer only; do not write the formula or computations used to derive the answer.)