Answer:
The answer is given below
Step-by-step explanation:
Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:
[tex]z=\frac{x-\mu}{\sigma}\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation[/tex]
For the male:
μ = 3259.8 g, σ = 869.7 g
Hence for a male who weighs 1600 g, the z score is:
[tex]z=\frac{x-\mu}{\sigma} =\frac{1600-3259.8}{869.7}=-1.91[/tex]
For the female:
μ = 3000.9 g, σ = 550.8 g
Hence for a female who weighs 1600 g, the z score is:
[tex]z=\frac{x-\mu}{\sigma} =\frac{1600-3000.9}{550.8}=-2.54[/tex]
Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.
