# Comparing Birth Weights The birth weights of a sample of males have a mean of 3272.8 g and a standard deviation of 660.2 g. The birth weights of a sample of females have a mean of 3037.1 g and a standard deviation of 706.3 g (based on Data Set 4 “Births” in Appendix B). When considered among members of the same gender, which baby has the relatively larger birth weight: a male with a birth weight of 3400 g or a female with a birth weight of 3200 g? Why?

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Comparing Birth Weights The birth weights of a sample of males have a mean of 3272.8 g and a standard deviation of 660.2 g. The birth weights of a sample of females have a mean of 3037.1 g and a standard deviation of 706.3 g (based on Data Set 4 “Births” in Appendix B). When considered among members of the same gender, which baby has the relatively larger birth weight: a male with a birth weight of 3400 g or a female with a birth weight of 3200 g? Why?

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Step 1

z score for the males:

Let x be the weight for new-born males.

Step 2

The formula for the z score is

Step 3

z score for the females:

Let y be the weight for new-born females.

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