Question

Use z scores to compare the given values.

Based on sample​ data, newborn males have weights with a mean of 3232.9 g and a standard deviation of 714.6 g. Newborn females have weights with a mean of 3094.9 g and a standard deviation of 586.3 g. Who has the weight that is more extreme relative to the group from which they​ came: a male who weighs 1600 g or a female who weighs 1600 ​g?
Since the z score for the male is z =__ and the z score for the female is z=__​, the
female or male(which one) has the weight that is more extreme.

Answer 1

z= 1

Explanation:

got it on egde

Answer 2

Female

Explanation:

The formula for finding z-score is;

z=(x-μ)/δ

where x= weight given=1600g

μ=mean weight given

δ=standard deviation given

For male

x=1600g

μ=3232.9g

δ=714.6g

z=(1600-3232.9)/714.6

z= -2.3

The weight for the male is 2.3 standard deviations below the mean

For female

x=1600g

μ=3094.9g

δ=586.3g

z=(1600-3094.9)/586.3

z= -2.5

The weight for the female is 2.5 standard deviations below the mean

⇒The female has the weight that is more extreme