Respuesta :
Answer: 220
First, let us find the z-score of Levi's score on Exam A using the formula,
[tex]z=\frac{x-\mu}{\sigma}[/tex]From the given, we know that:
x = 710
μ = 700
σ = 25
Substituting this to the formula,
[tex]z=\frac{x-\mu}{\sigma}\Rightarrow z=\frac{710-700}{25}=0.4[/tex]We will now use this z-score to find Levi's score on Exam B
Exam B has:
μ = 200
σ = 50
[tex]z=\frac{x-\mu}{\sigma}\Rightarrow0.4=\frac{x-200}{50}[/tex][tex]0.4=\frac{x-200}{50}\Rightarrow(0.4)(50)=x-200\Rightarrow20=x-200[/tex][tex]20=x-200\Rightarrow x=20+200=220[/tex]Therefore, Levi must score 220 to do equivalently well as he did on Exam A.
