Q. 30 Do drivers take longer to leave ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 5: Q. 30 (page 313)

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

Expert verified

Part a. The spread for the 鈥淵es鈥� answers is more than for the 鈥淣o鈥� an answer, the reason is that the distance between the whiskers for the 鈥淵es鈥� box plot is bigger.

Part b. Yes, because the box plot for when somebody was waiting (鈥淵es鈥�) lies greater than the box plot for when somebody was not waiting (鈥淣o鈥�).

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 鈥淵es鈥� , because the box of the box plot for 鈥漎es鈥� lies greater than the box of the box plot for 鈥淣o鈥�.

The data for the 鈥淣o鈥� 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 ( $40 t o 50$ seconds).

The spread for the 鈥淵es鈥� answers is more than for the 鈥淣o鈥� an answer, the reason is that the distance between the whiskers for the 鈥淵es鈥� box plot is bigger.

Part b. Step 1. Explanation

Yes, because the box plot for when somebody was waiting (鈥淵es鈥�) lies greater than the box plot for when somebody was not waiting (鈥淣o鈥�).

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.