Question

Use z scores to compare the given values. Based on sample​ data, newborn males have weights with a mean of 3271.5 g and a standard deviation of 663.6 g. Newborn females have weights with a mean of 3049.4 g and a standard deviation of 759.9 g. Who has the weight that is more extreme relative to the group from which they​ came: a male who weighs 1500 g or a female who weighs 1500 ​g? Since the z score for the male is zequals nothing and the z score for the female is zequals nothing​, the ▼ female male has the weight that is more extreme

Answer 1

Solution :

Given that ,

mean = = 3271.5 ( males)

standard deviation =  = 663.6

x = 1500

Using z-score formula,

z = x - /   

z = 1500 - 3271.5 / 663.6

z = -2.67 ( males)

mean = = 3049.4 ( females)

standard deviation =  = 759.9

x = 1500

Using z-score formula,

z = x - /   

z = 1500 - 3049.4 / 759.9

z = -2.04 ( females)

Since the z score for the male is z = -2.67 and the z score for the female is z = -2.04​, the female has the weight that is more extreme