EXAMPLE 1.44

Eligibility for aid and practice. What proportion of all students who take the SAT would be eligible to receive athletic scholarships and to practice with the team but would not be eligible to compete in the eyes of the NCAA? That is, what proportion of students have SAT scores between 620 and 800? First, sketch the areas, exactly as in Example 1.41. We again use X as shorthand for an SAT score.

  1. 1. Standardize.

  2. 2. Use the table.

    area between −1.73 and −0.93 = (area left of −0.93) − (area left of −1.73)

    = 0.1762 − 0.0418 = 0.1344

As in Example 1.41, about 13% of students would be eligible to receive athletic scholarships and to practice with the team.