ANSWER
The American man
EXPLANATION
To find the man that is taller relative to his nationality, we have to find the z-score of both men. The z-score represents how far away from the mean that a data value is.
To find the z-score, apply the formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
where x = data value; μ = mean; σ = standard deviation
For the American man, the z-score is:
[tex]\begin{gathered} z=\frac{173-177}{7.4} \\ z=\frac{-4}{7.4} \\ z=-0.541 \end{gathered}[/tex]
For the Indian man, the z-score is:
[tex]\begin{gathered} z=\frac{150-165}{6.7} \\ z=\frac{-15}{6.7} \\ z=-2.239 \end{gathered}[/tex]
We see that the American man has a height with a z-score higher than that of the Indian man.
This means that the American man is taller than the Indian man relative to their nationalities.
