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.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In government data, a household consists of all occupants of a dwelling unit. Choose an American household at random and count the number of

people it contains. Here is the assignment of probabilities for your outcome:

The probability of finding 3people in a household is the same as the probability of finding 4people. These probabilities are marked ??? in the table of the distribution. The probability that a household contains 3 people must be

(a) 0.68(b) 0.32(c) 0.16(d) 0.08(e) between 0 and1, and we can say no more.

Simulation blunders Explain what’s wrong with each of the following simulation designs.

(a) According to the Centers for Disease Control and Prevention, about 26%of U.S. adults were obese in 2008. To simulate choosing 8adults at random and seeing how many are obese, we could use two digits. Let 01to 26represent obese and 27to 00represents not obese. Move across a row in Table D, two digits at a time, until you find 8 distinct numbers (no repeats). Record the number of obese people selected.

(b) Assume that the probability of a newborn being a boy is 0.5. To simulate choosing a random sample of 9babies who were born at a local hospital today and observing their gender, use one digit. Use ran dint (0,9) on your calculator to determine how many babies in the sample are male.

Who eats breakfast? The two-way table describes the 595 students who responded to a school survey about eating breakfast. Suppose we select a student at random. Consider events B: eats breakfast regularly, and M: is male.

(a) Find P(B|M) Explain what this value means.

(b) FindP(M|B) Explain what this value means.

The 28 students in Mr. Tabor’s AP Statistics class completed a brief survey. One of the questions asked whether each student was right- or left-handed. The two-way table summarizes the class data. Choose a student from the class at random. The events of interest are “female” and “right-handed.”

You want to estimate the probability that the player makes 5or more of 10shots. You simulate 10 shots 25 times and get the following numbers of hits:

5754153434534463417455657 What is your estimate of the probability?

(a) 5/25, or 0.20 (d) 16/25, or 0.64

(b) 11/25, or 0.44 (e) 19/25, or 0.76

(c) 12/25, or 0.48

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free