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) 2.17 z

(e) z 1.28

(f) 1.99 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 7-12.

(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, 2, or 3? Explain.