Question: 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 σ = 4.3 kilograms. 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

a.) x < 30

b.) 19 < x
c.) 32 < x <35
d.) - 2.17 < z
e.) z < 1.28

f.) - 1.99 < z <1.44

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, -2, or 3? Explain.