Question

question 6
the average time to complete a 10k race for a female runner is 64.61 minutes with a standard deviation of 5.18 minutes. sarah completes her first 10k race in 58.24 minutes. what is sarahs z - score? (round your answer to 2 decimal places.)
-1.23
question 7

Explanation:

Step1: Recall z - score formula

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

Step2: Identify values

$x = 58.24$, $\mu=64.61$, $\sigma = 5.18$

Step3: Calculate z - score

$z=\frac{58.24 - 64.61}{5.18}=\frac{-6.37}{5.18}\approx - 1.23$

Answer:

-1.23