MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean ? = 26.6 kilograms and standard deviation ? = 3.4 kilograms. Let x be the weight of a fawn in kilograms.

(g) If a fawn weighs 14 kilograms, would you say it is an unusually small animal? Explain using z values and the figure above.

A. Yes. This weight is 3.71 standard deviations below the mean; 14 kg is an unusually low weight for a fawn.
B. Yes. This weight is 1.85 standard deviations below the mean; 14 kg is an unusually low weight for a fawn.
C. No. This weight is 3.71 standard deviations below the mean; 14 kg is a normal weight for a fawn.
D. No. This weight is 3.71 standard deviations above the mean; 14 kg is an unusually high weight for a fawn.
E. No. This weight is 1.85 standard deviations above the mean; 14 kg is an unusually high weight for a fawn.

 

(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.

A. It would have a negative z, such as −2.
B. It would have a large positive z, such as 3.
C. It would have a z of 0.

The Standard Normal Distribution
(u = 0, o = 1)
-3
-2
2
3
68% of area
95% of area
99.7% of area
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Transcribed Image Text:The Standard Normal Distribution (u = 0, o = 1) -3 -2 2 3 68% of area 95% of area 99.7% of area
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