Fawns between 1 and 5 months old have a body weight that is approximately normal
ID: 3134828 • Letter: F
Question
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean = 28.2 kilograms and standard deviation = 4.3 kilograms. Let x be the weight of a fawn in kilograms.
Convert the following x intervals to z intervals. (Round your answers to two decimal places.)
(a) x < 30
z < 1?
(b) 19 < x
? < z
(c) 32 < x < 35
? < z < ?
Convert the following z intervals to x intervals. (Round your answers to one decimal place.)
(d) 2.17 < z
? < x
(e) z < 1.28
x < ?
(f) 1.99 < z < 1.44
? < x < ?
Explanation / Answer
a) NORM.DIST(30,28.2,4.3,TRUE)=0.66
b) 19<x=19-28.2/4.3=-2.1395<z
c) 32<x<35=32-28.2/4.3<z<35-28.2/4.3=0.88<z<1.58
d) -2.17<z
-2.17=x-28.2/4.3
simplfying for x=18.9
e) z<1.28
1.28=x-28.2/4.3
x=33.7
f) -1.99<x<1.44
-1.99=x-28.2/4.3
x=19.6
1.44=x-28.2/4.3
x=34.4
19.6<x<34.4
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