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.

Question

Mathematics

Haiden Newton

17 December, 09:28

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.

+1

Answers (1)

Know the Answer?

Jovan Singh · Answer 1

Female

Step-by-step 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