a newborn who weighs 2,500 g or less has a low birth weight. use the information on the right to find the z…

a newborn who weighs 2,500 g or less has a low birth weight. use the information on the right to find the z - score of a 2,500 g baby. what is the z - score of a newborn who weighs 4,000 g? what weight would give a newborn a z - score of - 0.75? grams in the united states, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. z = (x - μ)/σ

a newborn who weighs 2,500 g or less has a low birth weight. use the information on the right to find the z - score of a 2,500 g baby. what is the z - score of a newborn who weighs 4,000 g? what weight would give a newborn a z - score of - 0.75? grams in the united states, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. z = (x - μ)/σ

Answer

Answer:

2750

Explanation:

Step1: Recall z - score formula

$z=\frac{x - \mu}{\sigma}$

Step2: Rearrange formula for x

$x=z\sigma+\mu$

Step3: Substitute values

Given $z = - 0.75$, $\mu=3500$, $\sigma = 500$. Then $x=-0.75\times500 + 3500$.

Step4: Calculate x

$x=-375+3500=2750$