Answer:
Idonna's standardized score is [tex]z_1 = 0.98[/tex]
Jonathan's standardized score is [tex]z_2 = 1.65[/tex]
Jonathan had the high score
Step-by-step explanation:
From the question we are told that
The score of Idonna is [tex]x_1 = 620[/tex]
The mean of SAT is [tex]\mu_1 = 510[/tex]
The standard deviation of SAT is [tex]\sigma_1 = 112[/tex]
The score of Jonathan is [tex]x_2 = 29[/tex]
The mean of ACT is [tex]\mu_2 = 20.4[/tex]
The standard deviation of ACT is [tex]\sigma_2 = 5.2[/tex]
The standardized score for Idonna is
[tex]z_1 = \frac{x_1 - \mu_1}{\sigma_1}[/tex]
=> [tex]z_1 = \frac{620 - 510}{112}[/tex]
=> [tex]z_1 = 0.98[/tex]
The standardized score for Jonathan is
[tex]z_2 = \frac{x_2 - \mu_2}{\sigma_2}[/tex]
=> [tex]z_2 = \frac{29 - 20.4}{5.2}[/tex]
=> [tex]z_2 = 1.65[/tex]
