Question

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?

Answer 1

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

Explanation:

Consider the provided information.

Now use the z scores formula:

`z=(x-\mu)/(\sigma)`

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.

`z=(1500-3227.9)/(659.9)\approx-2.62`

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.

`z=(1500-3073.1)/(806.8)\approx-1.95`

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