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. in the united states, birth weights of newborn babies are approximately normally distributed with a mean of $mu = 3,500$ g and a standard deviation of $sigma = 500$ g. what is the z - score of a newborn who weighs 4,000 g? $z=\frac{x - mu}{sigma}$

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. in the united states, birth weights of newborn babies are approximately normally distributed with a mean of $mu = 3,500$ g and a standard deviation of $sigma = 500$ g. what is the z - score of a newborn who weighs 4,000 g? $z=\frac{x - mu}{sigma}$

Answer

Explanation:

Step1: Identify values for 2500 g baby

Given $\mu = 3500$, $\sigma=500$, $x = 2500$.

Step2: Calculate z - score

Substitute into $z=\frac{x - \mu}{\sigma}$, so $z=\frac{2500 - 3500}{500}=\frac{- 1000}{500}=-2$.

Step3: Identify values for 4000 g baby

Given $\mu = 3500$, $\sigma = 500$, $x = 4000$.

Step4: Calculate z - score

Substitute into $z=\frac{x - \mu}{\sigma}$, so $z=\frac{4000 - 3500}{500}=\frac{500}{500}=1$.

Answer:

The z - score of a 2500 g baby is - 2. The z - score of a 4000 g baby is 1.