Question

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?

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.