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26 May, 05:30

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.

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Answers (1)
  1. 26 May, 05:50
    0
    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
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