Question

section 3.4 homework score: 0/14 answered: 0/14 question 1 adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. find the z - score of a man who is 75.7 inches tall. (round answer to 2 decimal places)

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value from the data set, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $\mu = 69.0$, $\sigma=2.8$, and $x = 75.7$.

Step3: Substitute values into formula

$z=\frac{75.7 - 69.0}{2.8}=\frac{6.7}{2.8}\approx2.39$

Answer:

$2.39$