Question

who is relatively taller a women who is 5 '5 or a man who is 6 '1 tall? The mean height of the women is 5'5 with a standard deviation of 2 inches and the mean height of men is 5 '8 with a standard deviation 3 inches

Answer 1

For this case we need to remember that 1ft = 12in

We can calculate the z score given by:

`z=(x-\mu)/(\sigma)`

Women

5' 5in = 60+ 5= 65 in

Replacing we got:

`z=(65-65)/(2)=0`

Men

6' 1 in= 72+1 = 73 in

5' 8in= 68in

`z=(68-73)/(3)=-1.67`

Then is relatively taller a women with 5' 5