Question

Waiting to park 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

a) Because most times have low values, the time seems to be right-skewed.

b) This is also common, because if someone is waiting, you must account for the distance between you and the waiting car so that you do not collide with it.

Step-by-step solution

Part (a) Step 1: Given information

We have to tell about sentences comparing these distributions

Part (a) Step 2: Explanation

People who had to wait longer were more likely to respond "Yes," because the boxplot for "Yes" is higher than the boxplot for "No."

Because there are two dots above the boxplot, the data for the "No" answer contains two outliers.

Because most times have low values, the time seems to be right-skewed.

Because the distance between the whiskers for the "Yes" boxplot is longer than for the "No" boxplot, the spread for "Yes" answers is greater than for "No" ones.

Part (b) Step 1: Given information

We have to tell about having someone waiting causes drivers to leave their spaces more slowly.

Part (b) Step 2: Explanation

• Yes, because the boxplot for someone who was waiting ("Yes") is higher than the boxplot for someone who was not waiting ("No") ("No").
• This is also common, because if someone is waiting, you must account for the distance between you and the waiting car so that you do not collide with it.