SOLUTION: I'm having some trouble with this problem and could use some help! Height and weight are two measurements used to track a child’s development. The World Health Organization meas

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Question 1048255: I'm having some trouble with this problem and could use some help!
Height and weight are two measurements used to track a child’s development. The World Health Organization measures
child development by comparing the weights of children who are the same height and the same gender. In 2009, weights for
all 80 cm girls in the reference population had a mean μ = 10.2 kg and standard deviation σ = 0.8 kg. Weights are normally
distributed. X ~ N(10.2, 0.8). Calculate the z-scores that correspond to the following weights and interpret them.
a. 11 kg
b. 7.9 kg
c. 12.2 kg
I appreciate any help you can offer, thanks!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
mean μ = 10.2 kg and standard deviation σ = 0.8 kg. distributed. X ~ N(10.2, 0.8)
*Note: z+=+blue%28x+-+mu%29%2Fblue%28sigma%29
a. 11 kg, z = .8/.8 = 1 (84% weigh less)
b. 7.9 kg z = -2.3/.8 = -28/8 = -3.5 (Far... left of average(z=0) 98.98% weigh more)
c. 12.2 kg z = 2/.8 = 20/8 = 2.5 (Far right on curve 99.38% weigh less)
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For the normal distribution: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Area under the standard normal curve to the left of the particular z is P(z)
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right