Assume two people, Mary and Carrie, are up for same job. Mary took The American Test of Academic Ability and received a score of 124 on this test. Scores on this test are normally distributed with a mean of 110 and a standard deviation of 8. Carrie took The National Academic Achievement Test and received a score of 289. Scores on this test are normally distributed with a mean of 250 and a standard deviation of 20. When being considered for the job, both of these tests count equally.
Mary's score of 124 corresponds to what percentile on The American Test of Academic Ability? Carrie's score of 289 corresponds to what percentile on The National Academic Achievement Test? Remember to round percentiles to the nearest whole percent.