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 μ = 27.2 kilograms and standard deviation r = 4.3 kilograms (based on in- formation 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) r < 30 (b) 19 < x (c) 32
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 μ = 27.2 kilograms and standard deviation r = 4.3 kilograms (based on in- formation 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) r < 30 (b) 19 < x (c) 32
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Transcribed Image Text:**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 a mean \( \mu = 27.2 \) kilograms and standard deviation \( \sigma = 4.3 \) 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.
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