Question 415884: 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:
I am getting confused when it comes to X <, or 19 X, and etc. How do we look at these?
(a) X < 30
(b) 19 < X
(c) 32 < x < 35
(d) -2.17 < Z
(e) Z < 1.28
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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:
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Note: x = zs + u
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I am getting confused when it comes to X <, or 19 X, and etc. How do we look at these?
(a) X < 30
zs+u < 30
z*4.3 + 27.2 = 30
z < 0.6512
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(b) 19 < X
19 < zs + u
10 < z*4.3+27.2
4.3z > -17.2
z > -4
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Substitute for "x" and solve for "z" on the following:
(c) 32 < x < 35
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Note: z = (x-u)/s
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(d) -2.17 < Z
-2.17 < (x-27.2)/4.3
x-27.2 > 4.3*-2.17
x > 17.869..
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Substitute for "z" and solve for "x":
(e) Z < 1.28
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Cheers,
Stan H.
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