Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3227.9 g and a standard deviation of 659.9 g. Newborn females have weights with a mean of 3073.1 g and a standard deviation of 806.8 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?

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FelisFelis FelisFelis · Answer 1 · 2019-09-27T06:43:45+02:00

Answer:

The weight that is more extreme is the male which is -2.62

Step-by-step explanation:

Consider the provided information.

Now use the z scores formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where μ is mean and σ is the standard deviation.

For newborn males have weights with a mean of 3227.9 g and a standard deviation of 659.9 g.

Substitute the respective values in the above formula.

[tex]z=\frac{1500-3227.9}{659.9}\approx-2.62[/tex]

For Newborn females have weights with a mean of 3073.1 g and a standard deviation of 806.8 g.

Substitute the respective values in the above formula.

[tex]z=\frac{1500-3073.1}{806.8}\approx-1.95[/tex]

So, the more extreme of these is the male which is -2.62