Statistics 33

Height and weight are two measurements used to track achild’s development. The World Health Organization measures child developmentby comparing the weights of children who are the same height and the samegender. In 2009, weights for all 80 cm girls in the reference population had amean µ = 10.2 kg and standard deviation σ = 0.8 kg. Weights are normallydistributed. X ~ N(10.2, 0.8). Calculate the z-scores that correspond to thefollowing weights and interpret them. a. 11 kg b. 7.9 kg c. 12.2 kg

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