z Scores: Fawns Fawns between 1 and 5 months old in Mesa Verde National Park have a body weight that is approximately normally distributed with mean m 5 27.2 kilograms and standard deviation s 5 4.3 kilograms (based on information from The Mule Deer of Mesa Verde National Park, by G. W. Mierau and J.

L. Schmidt, Mesa Verde Museum Association). Let x be the weight of a fawn in kilograms. Convert each of the following x intervals to z intervals.

(a) x , 30

(b) 19 , x

(c) 32 , x , 35 Convert each of the following z intervals to x intervals.

(d) 22.17 , z

(e) z , 1.28

(f) 21.99 , z , 1.44

(g) Interpretation If a fawn weighs 14 kilograms, would you say it is an unusually small animal?

Explain, using z values and Figure 6-15.

(h) Interpretation If a fawn is unusually large, would you say that the z value for the weight of the fawn will be close to 0, 22, or 3? Explain.

AppendixLO1