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  approximately normally distributed. X ~ N(10.2, 0.64), where the notation N(a,b) stands for a normal distribution with mean a and variance (square of the standard deviation) b.   Calculate the z-scores that correspond to the 12.2 kg.  Round to one decimal place.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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 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  approximately normally distributed. X ~ N(10.2, 0.64), where the notation N(a,b) stands for a normal distribution with mean a and variance (square of the standard deviation) b.

 

Calculate the z-scores that correspond to the 12.2 kg.  Round to one decimal place.

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