Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume thatcommuting times are normally distribut…

Question

asked Nov 19, 2023 129k views

1 Answer

Siannone · Answer 1 · 2023-11-25T19:01:55+0000

From the given information, we know that

$\begin{gathered} \operatorname{mean}\text{ }\mu=25\text{ } \\ \text{ standard deviation }\sigma=6.1 \end{gathered}$

In order to find the probability, we need to find the z-score for the measure X=28. The z-score formula is given by

$z=(X-\mu)/(\sigma)$

By substituting the given values, we have

$\begin{gathered} z=(28-25)/(61) \\ z=(3)/(61) \\ z=0.04918 \end{gathered}$

Now, we need to find the p-value corresponding to this z-value. Then, we found that

Therefore, by rouding to 4 decimal places, the answer is