#10 z Scores: Fawns Fawns between 1 to 5 months old have a body weight that is approximately normally distributed with mean of u = 27.2 kilograms and standard deviation o 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

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**z Scores: Fawns**

Fawns between 1 to 5 months old have a body weight that is approximately normally distributed with a mean of μ = 27.2 kilograms and a 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  

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) If a fawn weighs 14 kilograms, would you say it is an unusually small animal? Explain using z values and the normal distribution curve.

(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.
Transcribed Image Text:**z Scores: Fawns** Fawns between 1 to 5 months old have a body weight that is approximately normally distributed with a mean of μ = 27.2 kilograms and a 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 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) If a fawn weighs 14 kilograms, would you say it is an unusually small animal? Explain using z values and the normal distribution curve. (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.
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