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

To determine who has the weight that is more extreme relative to their group, we need to calculate the z-scores for both the male and female who weigh 1700 g.

Step-by-step explanation:

To determine who has the weight that is more extreme relative to their group, we need to calculate the z-scores for both the male and female who weigh 1700 g.

The z-score formula is: z = (x - mean) / standard deviation.

For the male who weighs 1700 g:
z = (1700 - 3277.9) / 571.6 = -1.956.

For the female who weighs 1700 g:
z = (1700 - 3091.6) / 625.7 = -1.394.

Since the absolute value of -1.956 is greater than the absolute value of -1.394, the male with a weight of 1700 g is more extreme relative to their group.