Question

Use 2 score to compare the given values Based on sample data, newbom males have weights with a mean of 32867g and a standard deviation of 585 2 Newbom females have weights with a mean of 3071.2 g and a standard deviation of 7145 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? and the score for the female is the has the weight that is more extreme Since the z score for the male is (Round to two decimal places.) 1 Type here to search Y UI O P i w E R G HJ s V BN Shin CAM

Answer 1

Solution :

Given that ,

mean = $\mu$ = 3286.7 ( male)

standard deviation = $\sigma$ = 585.2

x = 1600

Using z-score formula,

z = x - $\mu$ / $\sigma$   

z = 1600 - 3286.7 / 585.2

z = -2.88 ( male)

2) mean = $\mu$ = 3071.2 ( female)

standard deviation = $\sigma$ = 714.5

x = 1600

Using z-score formula,

z = x - $\mu$ / $\sigma$   

z = 1600 - 3071.2 / 714.5

z = -2.06 ( female)

Since the z-score for the male is z = -2.88 and the z-score for the female is z = -2.06, female has the weight that is more extreme