Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q10 (page 76)

Seatbelts A histogram is to be constructed from the measured breaking points (in pounds) of tested car seatbelts. Identify two key features of a histogram of those values that would suggest that the data have a normal distribution.

Short Answer

Expert verified

The two key features of the histogram, which are suggestive of underlying normal distribution, are

  • the bell-shaped curve and
  • the symmetric trait.

Step by step solution

01

Given information

A sample of seatbelts is analyzed to study the breaking point (in kilograms).

02

Histogram of normal distribution

The histogram of a dataset that is either obtained from the normally distributed population or has a normal distribution should have the following key features.

  • The histogram should be bell-shaped. That is, the frequencies should first increase from a small value, then reach the maximum, and then gradually decrease.
  • The histogram should be symmetric. That is, the two halves of the histogram should be mirror images of each other.
03

State the characteristics 

Here, it is given that the sample of breaking points is used to plot a histogram.

For the histogram to depict that the sample follows a normal distribution, it should be bell-shaped and symmetric.

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.

Start your free trial

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

Identify the type of data provided by the information in the

a) First Column of the Table

b) Second Column of the Table

c) Third Column of the Table

d) Forth Column of the Table

Environment

a. After collecting the average (mean) global temperatures for each of the most recent 100 years, we want to construct the graph that is most appropriate for these data. Which graph is the best?

b. After collecting the average (mean) global temperature and the amount of carbon monoxide emissions for the most recent 100 years, we want to construct a graph to investigate the association between those two variables. Which graph is the best?

c. An investigation of carbon monoxide sources includes motor vehicles, furnaces, fires, coal-burning power plants, and tobacco smoke. If we want to construct a graph that illustrates the relative importance of these sources, which graph is the best?

In Exercises 5–8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.

Blood Platelet Count of Males

Frequency

0-99

1

100-199

51

200-299

90

300-399

10

400-499

0

500-599

0

600-699

1

Heights Heights of adult males are normally distributed. If a large sample of heights of adult males is randomly selected and the heights are illustrated in a histogram, what is the shape of that histogram?

Linear Correlation Coefficient In Exercises 9–12, the linear correlation coefficient r is provided. Use Table 2-11 on page 71 to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?

Using the data from Exercise 7 “Car Weight and Fuel Consumption,” the linear correlation coefficient is r = -0.987.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
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