Height and weight are two measurements used to track a child's development. An organization measures child development by comparing the weights of children who are the same height and the same gender. In a certain year, weights for all 80 cm girls in the reference population had a mean u = 9.6 kg and standard deviation o = 0.4 kg. Weights are normally distributed. X ~ N(9.6, 0.4). Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical answers to two decimal places.) (a) 10 kg z = A child who weighs 10 kg is standard deviation(s) --Select--- the mean of 9.6 kg. (b) 8.5 kg Z = A child who weighs 8.5 kg is standard deviation(s) --Select--- the mean of 9.6 kg. (c) 10.6 kg z = A child who weighs 10.6 kg is standard deviation(s) ---Select-- o the mean of 9.6 kg.

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Height and weight are two measurements used to track a child's development. An organization measures child development by
comparing the weights of children who are the same height and the same gender. In a certain year, weights for all 80 cm girls in
the reference population had a mean u = 9.6 kg and standard deviation o = 0.4 kg. Weights are normally distributed.
X ~ N(9.6, 0.4). Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical
answers to two decimal places.)
(a)
10 kg
z =
A child who weighs 10 kg is
standard deviation(s) ---Select--- O the mean of 9.6 kg.
(b)
8.5 kg
z =
A child who weighs 8.5 kg is
standard deviation(s) ---Select--- O the mean of 9.6 kg.
(c)
10.6 kg
z =
A child who weighs 10.6 kg is
standard deviation(s) --Select--- the mean of 9.6 kg.
Transcribed Image Text:Height and weight are two measurements used to track a child's development. An organization measures child development by comparing the weights of children who are the same height and the same gender. In a certain year, weights for all 80 cm girls in the reference population had a mean u = 9.6 kg and standard deviation o = 0.4 kg. Weights are normally distributed. X ~ N(9.6, 0.4). Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical answers to two decimal places.) (a) 10 kg z = A child who weighs 10 kg is standard deviation(s) ---Select--- O the mean of 9.6 kg. (b) 8.5 kg z = A child who weighs 8.5 kg is standard deviation(s) ---Select--- O the mean of 9.6 kg. (c) 10.6 kg z = A child who weighs 10.6 kg is standard deviation(s) --Select--- the mean of 9.6 kg.
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