use the data on the right to find the distance of each boys height from the mean. distance from mean: x - μ…

use the data on the right to find the distance of each boys height from the mean. distance from mean: x - μ distance of joses height from mean: 2 in. distance of jamals height from mean: -2.3 in. complete how many standard deviations is joses height from the mean height for 7 - year - olds? how many standard deviations is jamals height from the mean height for 12 - year - olds? done jose and jamal are friends. jose is 51\ tall and 7 years old. jamal is 55.7\ tall and 12 years old. heights of boys at a given age are normally distributed. age mean standard deviation 7 years 49 inches 2 inches 12 years 58 inches 2.3 inches

use the data on the right to find the distance of each boys height from the mean. distance from mean: x - μ distance of joses height from mean: 2 in. distance of jamals height from mean: -2.3 in. complete how many standard deviations is joses height from the mean height for 7 - year - olds? how many standard deviations is jamals height from the mean height for 12 - year - olds? done jose and jamal are friends. jose is 51\ tall and 7 years old. jamal is 55.7\ tall and 12 years old. heights of boys at a given age are normally distributed. age mean standard deviation 7 years 49 inches 2 inches 12 years 58 inches 2.3 inches

Answer

Explanation:

Step1: Calculate Jose's z - score

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the data - point, $\mu$ is the mean, and $\sigma$ is the standard deviation. For Jose, $x = 51$ inches, $\mu=49$ inches, and $\sigma = 2$ inches. $z_{Jose}=\frac{51 - 49}{2}$ $z_{Jose}=\frac{2}{2}=1$

Step2: Calculate Jamal's z - score

For Jamal, $x = 55.7$ inches, $\mu = 58$ inches, and $\sigma=2.3$ inches. $z_{Jamal}=\frac{55.7 - 58}{2.3}$ $z_{Jamal}=\frac{- 2.3}{2.3}=-1$

Answer:

How many standard deviations is Jose's height from the mean height for 7 - year - olds? 1 How many standard deviations is Jamal's height from the mean height for 12 - year - olds? - 1