Question

the average playing time of albums in a certain collection is 27 minutes, with a standard deviation of 4 minutes. calculate the z-score, to the nearest thousandth, for an album that has a playing time of 29.5 minutes. (1 point)
z = \square
check answer remaining attempts : 3

Explanation:

Step1: Recall z-score formula

$z = \frac{X - \mu}{\sigma}$ where $X=29.5$, $\mu=27$, $\sigma=4$

Step2: Calculate numerator

$29.5 - 27 = 2.5$

Step3: Divide by standard deviation

$z = \frac{2.5}{4} = 0.625$

Answer:

0.625