Lets start finding the z-score for the first score (Exam A):
[tex]z=\frac{228-200}{40}[/tex][tex]z=\frac{28}{40}=\frac{14}{20}=\frac{7}{10}[/tex]Now lets find the score of exam B in order to do equivalently well as on Exam A (same z-score):
[tex]z=\frac{x-550}{100}[/tex][tex]\frac{7}{10}=\frac{x-550}{100}[/tex][tex]\frac{7}{10}\cdot100=x-550[/tex][tex]70+550=x[/tex][tex]620=x[/tex]Elijah must score 620 on exam B in order to do equivalently well as on Exam A
