Fawns between 1 and 5 months old in Mesa Verde National Park have a body weight that is approximately normally distributed with mean μ = 27.2 kilograms and standard deviation σ = 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 (b) 19 (c) 32 Convert each of the following z intervals to x intervals:
(d) ˆ’2.17 (e) z (f) ˆ’1.99 (g) If a fawn weighs 14 kilograms, would you say it is an unusually small animal? Explain using z values and Figure 7-12.
(h) 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.

Transcribed Image Text:

3 2 2 3 68% of area 95% of area 99.7% of area