SOLUTION: boys and girls birth weight exercise 6.28 mentioned that in the United States, birth weight of boys is approximately normal , with mean 3.41 kg and standard deviation 0.55 kg. For

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Question 1189418: boys and girls birth weight exercise 6.28 mentioned that in the United States, birth weight of boys is approximately normal , with mean 3.41 kg and standard deviation 0.55 kg. For girls, the birth weight is also approximately normal with mean 3.29 kg and standard deviation 0.52kg
a. A weight below 2.5 kg is considered low birth weight. 2.5 kg corresponds to which percentile for boys and to which percentile for girls?
b. is a birth weight of 2.5 kg more extreme for boys or girls? why?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z boys=(2.5-3.41)/0.55
=-1.65
probability is 0.049 or 4.9th percentile
-
z girls=(2.5-3.29)/0.52
=-1.52
probability is 0.0644 or 6.4th percentile
it is more extreme for boys, since it is at a lower percentile or further from the standardized mean.