Question

Use z scores to compare the given values.

Based on sample​ data, newborn males have weights with a mean of 3259.8 g and a standard deviation of 869.7 g. Newborn females have weights with a mean of 3000.9 g and a standard deviation of 550.8 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

(male or female(which one)has the weight that is more extreme.

Answer 1

The Answer is 1,

Explanation:

If you have this Question on Edge, then this is it.

Answer 2

The answer is given below

Explanation:

Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:

`z=(x-\mu)/(\sigma)\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation`

For the male:

μ = 3259.8 g, σ = 869.7 g

Hence for a male who weighs 1600 g, the z score is:

`z=(x-\mu)/(\sigma) =(1600-3259.8)/(869.7)=-1.91`

For the female:

μ = 3000.9 g, σ = 550.8 g

Hence for a female who weighs 1600 g, the z score is:

`z=(x-\mu)/(\sigma) =(1600-3000.9)/(550.8)=-2.54`

Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.