Question 1198011
Note: standard Normal Curve:  µ = 0 and σ =1
for ex: to the right of center,  z-score becomes larger as distance, in terms of σ from the mean, increases.
{{{drawing(400,200,-5,5,-.5,1.5, graph(400,200,-5,5,-.5,1.5, exp(-x^2/2)), green(line(1,0,1,exp(-1^2/2)),line(-1,0,-1,exp(-1^2/2))),green(line(2,0,2,exp(-2^2/2)),line(-2,0,-2,exp(-2^2/2))),green(line(3,0,3,exp(-3^2/2)),line(-3,0,-3,exp(-3^2/2))),green(line( 0,0, 0,exp(0^2/2))),locate(4.8,-.01,z),locate(4.8,.2,z))}}}
Men Normal Distribution: µ = 69.3 and σ = 2.68
Women Normal Distribution: µ = 64.3 and σ = 2.59
z(man 75") = ( 75 - 69.3)/2.68 = 2.1269
z(woman 71") = (71 - 64.5)/2.59 = 2.5097****Represents More standard deviations from mean 
c) Who is 'relatively taller? 
-The 5 foot 11 inch American woman