Z-scores based on normal distribution

Reference no: EM1318626

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 < 358

Convert each of the following z intervals to x intervals.

a. -2.17 < z

b. z < 1.28

c. -1.99 < z < 1.44

d. If a fawn weights 14 kilograms, would you say it is an unusually small animal? Explain using z values.

e. 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.

Reference no: EM1318626

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