Question

Do drivers take longer to leave their parking spaces when someone is waiting? Researchers hung out in a parking lot and collected some data. The graphs and numerical summaries display information about how long it took drivers to exit their spaces.

a. Write a few sentences comparing these distributions.

b. Can we conclude that having someone waiting causes drivers to leave their spaces more slowly? Why or why not?

Short answer

Part a. The spread for the “Yes” answers is more than for the “No” an answer, the reason is that the distance between the whiskers for the “Yes” box plot is bigger.

Part b. Yes, because the box plot for when somebody was waiting (“Yes”) lies greater than the box plot for when somebody was not waiting (“No”).

Step-by-step solution

Part a. Step 1. Given information

Given is-

Part a. Step 2. Explanation

People who had to wait longer, more often answered “Yes” , because the box of the box plot for ”Yes” lies greater than the box of the box plot for “No”.

The data for the “No” answered contained two outliers; the reason is that there are two dots above the box plot.

The time seems to be right-skewed, because most times take on low values ($40to50$ seconds).

The spread for the “Yes” answers is more than for the “No” an answer, the reason is that the distance between the whiskers for the “Yes” box plot is bigger.

Part b. Step 1. Explanation

Yes, because the box plot for when somebody was waiting (“Yes”) lies greater than the box plot for when somebody was not waiting (“No”).

This is also normal, because if there is somebody waiting then it requires taking into account the distance to the waiting vehicle. Such that you do not hit the waiting vehicle.