-IQ scores have a mean of 100 and a standard deviation of 15. Mary has an IQ of

Question

-IQ scores have a mean of 100 and a standard deviation of 15. Mary has an IQ of 103.

(a) What is the difference between Mary's IQ and the mean?
Answer:

(b) Convert Mary's IQ score to a z-score.
Answer:

-The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

(a) What is the z-score for a woman 58 inches tall?
z-score =

What is the z-score for a man 78 inches tall?
z-score =

Explanation / Answer

a) differnece =103-100 =3

b) Z score =difference/std deviation =3/15 =0.2

2)

z score for a woman 58 inches tall =(X-mean)/std deviation =(58-64)/2.7=-2.22

z-score for a man 78 inches tall =(78-69.3)/2.8=3.11

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