(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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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#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 :
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:#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 : 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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