1. Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an aptitude test are normally distributed with a mean of 110 and a standard deviation of 7.1.
Boris scored a 67 on the knowledge test and Callie scored 119 on the aptitude test.
(a) Calculate the z-score for Boris. Round to the nearest hundredth. Show your work.
(b) Calculate the z-score for Callie. Round to the nearest hundredth. Show your work.
(c) Who did relatively better on their test, Boris or Callie? Use the meaning of z-scores to explain.