Based on sample data, newborn males have weights with a mean of 3277.9 g and a standard deviation of 571.6 g. Newborn females have weights with a mean of 3091.6 g and a standard deviation of 625.7 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g?

Question

Mathematics

Zoey Haynes

17 August, 16:34

Based on sample data, newborn males have weights with a mean of 3277.9 g and a standard deviation of 571.6 g. Newborn females have weights with a mean of 3091.6 g and a standard deviation of 625.7 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g?

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Answers (1)

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Roberto Vega · Answer 1

Step-by-step explanation:

Calculate and compare the z scores.

z = (x - μ) / σ

For the male:

z = (1700 - 3277.9) / 571.6

z = - 2.76

For the female:

z = (1700 - 3091.6) / 625.7

z = - 2.22

The absolute value of the male z score is greater than the absolute value of the female z score. Therefore, the male newborn's weight is more extreme.