Use z scores to compare the given values. Based on sample data, newborn males ha

Question

Use z scores to compare the given values.

Based on sample data, newborn males have weights with a mean of 3208. 1 g and a standard deviation of 840.8 g. Newborn females have weights with a mean of 3015.6 g and a standard deviation of 592.7 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 z = ____ and the z score for the female is z = ____ , the ( male/ female) has the weight that is more extreme. (Round to two decimal places.)

Explanation / Answer

as we know that z score =(X-mean)/st deviation

hence Since the z score for the male is z = (1500-3208.1)/840.8=-2.03 and the z score for the female is z =

=(1500-3015.6)/592.7 =-2.56 ; the female  has the weight that is more extreme.

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