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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

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Solution

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

We can calculate the z score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Women

5' 5in = 60+ 5= 65 in

Replacing we got:

[tex]z=\frac{65-65}{2}=0[/tex]

Men

6' 1 in= 72+1 = 73 in

5' 8in= 68in

[tex]z=\frac{68-73}{3}=-1.67[/tex]

Then is relatively taller a women with 5' 5

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