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Chapter 5: Q 38. (page 298)

Waiting to park (1.3) 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 below display information about how long it took drivers to exit their sp\aces.

(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

Expert verified

Part (a) It took longer for people who said "yes" to leave.

Part (b) No group reaches a conclusion.

Step by step solution

01

Part (a) Step 1. Given Information     

There are graphs and descriptive statistics summaries of how long it took drivers to leave their parking spaces.

02

Part (a) Step 2. Concept Used  

We can't foresee the outcomes of a chance process, yet they have a regular distribution over a large number of repetitions. According to the law of large numbers, the fraction of times a specific event occurs in numerous repetitions approaches a single number. The likelihood of a chance outcome is its long-run relative frequency. A probability is a number between 0(never happens) and 1(happens frequently) (always occurs).

03

Part (a) Step 3. Explanation 

It is obvious from the supplied boxplots that those who waited longer answered "Yes" more frequently. Both boxplots are slanted to the right. For the data "No," there are two outliers. In addition, the "Yes" distribution has a wider spread than the "No" distribution because "Yes" whiskers are larger.

04

Part (b) Step 1. Explanation 

People who waited longer were more likely to say "Yes." That is, if someone is waiting, you must account for the distance between you and the waiting car so that you do not collide with it. As a result, I concur with the conclusion.

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