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Asked Dec 21, 2019
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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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Expert Answer

Step 1

It is given that the birth weights of a sample of males have a mean of 3272.8 g and a standard deviation of 660.2 grams.

 

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That is, = 3272.8 and S = 660.2

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Step 2

The Z-score of a male with a birth weight of 3,400 grams is calculated below:

Thus, the Z-score of a male with a birth weight of 3,400 is 0.19.

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3400 – 3272.8 660.2 = 0.19

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Step 3

The sample mean birth weight of females is 3037.1 grams and a standard deviation is 706.3g.

The Z-score of a female with a...

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Z: 3, 200 – 3037.1 706.3 = 0.23

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