HELP!!!! Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical answers to two decimal places.)

Question

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 μ = 9.6 kg

 and standard deviation σ = 0.6 kg.

 Weights are normally distributed. X ~ N(9.6, 0.6).

 Calculate the z-scores that correspond to the following weights and interpret them. (Round your numerical answers to two decimal places.)

(a)    10.2 kg

z = ______

A child who weighs 10.2 kg is  standard deviation(s)  ---Select--- (above below) the mean of 9.6 kg.

(b)    7.9 kg

z = ______

A child who weighs 7.9 kg is  standard deviation(s)  ---Select--- (above below) the mean of 9.6 kg.

(c)    11.1 kg

z = ______

A child who weighs 11.1 kg is  standard deviation(s)  ---Select--- (above below) the mean of 9.6 kg.

Answer 1

a) z = (10.2 - 9.6) / 0.6 = 1 (above)

b) z = (7.9 - 9.6) / 0.6 = -2.83 (below)

c) z = (11.1 - 9.6) / 0.6 = 2.5 (above)