Answer
a) Megan
b) Anna
Work Step by Step
a)
Anna: $\frac{83+83}{2}=83\lt85$
Megan: $\frac{77+95}{2}=86\gt85$
So Megan qualifies.
b)
French:
Anna: $z=\frac{y-\mu}{\rho}=\frac{83-81}{5}=0.4$
Megan: $z=\frac{y-\mu}{\rho}=\frac{77-81}{5}=-0.8$
Spanish:
Anna: $z=\frac{y-\mu}{\rho}=\frac{83-74}{15}=0.6$
Megan: $z=\frac{y-\mu}{\rho}=\frac{95-74}{15}=1.4$
Total:
Anna: $0.4+0.6=1.0$
Megan: $-0.8+1.4=0.6$
Anna qualifies.
