Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Income and Residence. The U.S. Census Bureau compiles information on money income of people by type of residence and publishes its finding in Current Population Reports. Independent simple random samples of people residing inside principal cities (IPC), outside principal cities but within metropolitan areas (OPC), and outside metropolitan areas (OMA), gave the following data on income level.

Residence
Income

IPCOPCOMATotal
Under \(15,000
7510646227
\)15,000-\(34,99910616161328
\)35,000-\(74,9999818352333
\)75,000 and over4810214164
Total
3275521731052

a. Identify the populations under consideration.

b. Identify the variable under consideration.

c. At the 5% significance level, do the data provide sufficient evidence to conclude that people residing in the three types of residence are non homogeneous with respect to income level?

Short Answer

Expert verified

It is obvious from the dot plot that there are more presidents between the ages of 50 and 58. The dot plot also reveals a roughly symmetric distribution.

Step by step solution

01

Given Definition

Create a dotplot for the ages of the first 44 presidents of the United States using MINITAB.

Procedure for MINITAB:

Step 1: Select Dotplot from the Graph menu.

Step 2: Click OK after selecting One Y-Simple.

Step 3: In the Graph variables section, type the relevant DATA column.

Step 4: Click the OK button.

02

Output

MINITAB OUTPUT:

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

We have presented a contingency table that gives a cross-classification of a random sample of values for two variables x and y, of a population.

Perform the following tasks

a. Find the expected frequencies Note: You will first need to compute the row totals, column totals, and grand total.

b. Determine the value of the chi-square statistic

c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.

For what purpose is a chi-square homogeneity test used?

In each of Exercises 12.18-12.23, we have provided a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. In each case, use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution.

Distribution: 0.2, 0.4, 0.3, 0.1

Observed frequencies: 39, 78, 64, 19

Significance level = 0.05

The t-table has entries for areas of 0.10,0.05,0.025,0.01and0.005. In contrast, the ฯ‡2-table has entries for those areas and for 0.995,0.99,0.975,0.95and 0.90.Explain why the t-values corresponding to these additional areas can be obtained from the existing t-table but must be provided explicitly in the ฯ‡2-table.

AIDS Cases. According to the Centers for Disease Control and Prevention publication HIV Surveillance Report, the number of AIDS cases in the United States in 2011, by region and race, is as shown in the following contingency table.

RegionWhiteBlackOtherTotal
Northeast1,1002,493
5,177
Northwest1,137
5043221
South2,7617,848
12,867
West
76417664,230
Total

605225,435

a. How many cells does this contingency table have?

b. Fill in the missing entries.

c. What was the total number of AIDS cases in the United States in 2011?

d. How many AIDS cases were whites?

e. How many AIDS cases were Southerners?

f. How many AIDS cases were black Westerners?

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