BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 11, Problem 11.12P

Textbook Problem

9 views

Twenty ethnic, racial, or national groups were rated by a random sample of white and black students on a Social Distance Scale. Lower scores represent less social distance and less prejudice. How similar are these rankings?

Average Score |
||

Group |
White Students |
Black Students |

1 White Americans | 1.2 | 2.6 |

2 English | 1.4 | 2.9 |

3 Canadians | 1.5 | 3.6 |

4 Irish | 1.6 | 3.6 |

5 Germans | 1.8 | 3.9 |

6Italians | 1.9 | 3.3 |

7 Norwegians | 2.0 | 3.8 |

8 American Indians | 2.1 | 2.7 |

9 Spanish | 2.2 | 3.0 |

10 Jews | 2.3 | 3.3 |

11 Poles | 2.4 | 4.2 |

12 Black Americans | 2.4 | 1.3 |

13 Japanese | 2.8 | 3.5 |

14 Mexicans | 2.9 | 3.4 |

15 Koreans | 3.4 | 3.7 |

16 Russians | 3.7 | 5.1 |

17 Arabs | 3.9 | 3.9 |

18 Vietnamese | 3.9 | 4.1 |

19 Turks | 4.2 | 4.4 |

20 Iranians | 5.3 | 5.4 |

To determine

**To find:**

The spearman’s rho correlation.

**Given:**

The table of 15 nations on a measure of ethnic diversity and economic inequality is given below,

Average Score | ||

Group | White Students | Black Students |

1 White Americans | 1.2 | 2.6 |

2 English | 1.4 | 2.9 |

3 Canadians | 1.5 | 3.6 |

4 Irish | 1.6 | 3.6 |

5 Germans | 1.8 | 3.9 |

6 Italians | 1.9 | 3.3 |

7 Norwegians | 2.0 | 3.8 |

8 American Indians | 2.1 | 2.7 |

9 Spanish | 2.2 | 3.0 |

10 Jews | 2.3 | 3.3 |

11 Poles | 2.4 | 4.2 |

12 Black Americans | 2.4 | 1.3 |

13 Japanese | 2.8 | 3.5 |

14 Mexicans | 2.9 | 3.4 |

15 Koreans | 3.4 | 3.7 |

16 Russians | 3.7 | 5.1 |

17 Arabs | 3.9 | 3.9 |

18 Vietnamese | 3.9 | 4.1 |

19 Turks | 4.2 | 4.4 |

20 Iranians | 5.3 | 5.4 |

**Formula used:**

The formula to calculate the Spearman’s rho is given by,

Where,

The formula to calculate the difference in ranks is calculated as,

**Calculation:**

Let the Quality of life be

Consider the following table of differences in ranks,

White Students |
Black Students |
Rank |
Rank |
||

1.2 | 2.6 | 20 | 19 | 1 | 1 |

1.4 | 2.9 | 19 | 17 | 2 | 4 |

1.5 | 3.6 | 18 | 10.5 | 7.5 | 56.25 |

1.6 | 3.6 | 17 | 10.5 | 6.5 | 42.25 |

1.8 | 3.9 | 16 | 6.5 | 9.5 | 90.25 |

1.9 | 3.3 | 15 | 14.5 | 0.5 | 0.25 |

2.0 | 3.8 | 14 | 8 | 6 | 36 |

2.1 | 2.7 | 13 | 18 | 25 | |

2.2 | 3.0 | 12 | 16 | 16 | |

2.3 | 3.3 | 11 | 14.5 | 12.25 | |

2.4 | 4.2 | 9.5 | 4 | 5.5 | 30.25 |

2.4 | 1.3 | 9.5 | 20 | 110.25 | |

2.8 | 3.5 | 8 | 12 | 16 | |

2.9 | 3.4 | 7 | 13 | 36 | |

3.4 | 3.7 | 6 | 9 | 9 | |

3.7 | 5.1 | 5 | 2 | 3 | 9 |

3.9 | 3.9 | 3.5 | 6.5 | 9 | |

3 |

Essentials Of Statistics

Show all chapter solutions

Ch. 11 - SOC The administration of a local college campus...Ch. 11 - SOC A researcher has conducted a survey on sexual...Ch. 11 - GER A survey of senior citizens who live in either...Ch. 11 - SOC Below are the four dependent variables...Ch. 11 - PS Below are some of the tables you analyzed in...Ch. 11 - SOC A small sample of non-English-speaking...Ch. 11 - PA Various supervisors in the city government of...Ch. 11 - PA All applicants to the Police Academy are given...Ch. 11 - SW A sample of children has been observed and...Ch. 11 - Eleven neighborhoods have been rated by an urban...

Find more solutions based on key concepts

Show solutions Ranking a group of cities in terms of "quality of life" would be an example of measurement on a(n)______scale o...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Using the Definition of Limit In Exercises 47-58, find the limit L. Then use the definition to prove that the...

Calculus: Early Transcendental Functions

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 81164

Finite Mathematics and Applied Calculus (MindTap Course List)

Sketch the curve and find the area that it encloses. 11. r = 3 + 2 cos

Multivariable Calculus

Determining Differentiability In Exercises 2528, describe the x-values at which the function is differentiable....

Calculus: An Applied Approach (MindTap Course List)

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 2516

Applied Calculus

Find the area of the region bounded by the given curves. y = 1 2x2, y = |x|

Single Variable Calculus: Early Transcendentals, Volume I

Test the series for convergence or divergence. 15.n=0sin(n+12)1+n

Calculus: Early Transcendentals

What is a complex number? Give an example of a complex number, and identify the real and imaginary parts.

Precalculus: Mathematics for Calculus (Standalone Book)

The following sample was obtained from a population with unknown parameters. Scores: 13, 7, 6, 12, 0, 4 a. Comp...

Statistics for The Behavioral Sciences (MindTap Course List)

a From the graph of f, state the numbers at which f is discontinuous and explain why. b For each of the numbers...

Calculus (MindTap Course List)

The error involved in making a certain measurement is a continuous rv X with pdf f(x)={.09375(4x2)2x20otherwise...

Probability and Statistics for Engineering and the Sciences

Normal Curve: Tree Rings Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo (...

Understanding Basic Statistics

Find the value of k such that (1,k) is equidistant from (0,0) and (2,1).

Finite Mathematics

The circle with equation kx2 + ky2 = a2 lies inside the circle with equation x2 + y2 = a2, provided that k 1.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Evaluate the limit, if it exists. 18. limh0(2+h)38h

Single Variable Calculus

Use Polyas four-step problem-solving strategy and the problem-solving procedures presented in this section to s...

Mathematical Excursions (MindTap Course List)

Test the divisibility of each first number by the second number: 5,275,343; 3

Elementary Technical Mathematics

For Review Exercises 13 to 18, name the type of reasoning intuition, induction, deduction used. Without tasting...

Elementary Geometry For College Students, 7e

In problems 11-16, write in radical form.Do not simplify.
12.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. Objectives 2 4x2+xy...

Intermediate Algebra

Finding a Derivative In Exercises 5-20, find dy / dx by implicit differentiation. x3xy+y2=7

Calculus of a Single Variable

Use the Ratio Test to determine whether the series is convergent or divergent. 22. 23+253.5+258357+258113579+

Single Variable Calculus: Early Transcendentals

Find each of the following products. Write each result in both trigonometric and standard form.

Elements Of Modern Algebra

17. The Barclays own a home that was recently appraised for $219,000. The balance on their existing first mortg...

Contemporary Mathematics for Business & Consumers

According to your model, what is the length of the sunspot cycle (in years)? In 1848, Rudolph Wolf determined t...

Trigonometry (MindTap Course List)

In Exercises 37 to 43, angle measures should be given to the nearest degree; distance should be given to the ne...

Elementary Geometry for College Students

Finding a Limit In Exercises 25-36, find the limit (if it exists). If the limit does not exist, explain why. li...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 1518, find X2 the probability distribution of the system after two observations for the distributi...

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False:
For f(x, y) = x2(x + y), x and y are independent variables.

Study Guide for Stewart's Multivariable Calculus, 8th

True or False:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

The following list contains several variables that differentiate college students. a. Select two variables from...

Research Methods for the Behavioral Sciences (MindTap Course List)

Identify the general purpose of a hypothesis test and explain how the test accomplishes the researchers goal.

Research Methods for the Behavioral Sciences (MindTap Course List)

The following data on sale price, size, and land-to-building ratio for 10 large industrial properties appeared ...

Introduction To Statistics And Data Analysis

The U.S. Department of Energys Fuel Economy Guide provides fuel efficiency data for cars and trucks (Fuel Econo...

Statistics for Business & Economics, Revised (MindTap Course List)

Tangent Curves In Exercises 39-42, use a graphing utility to graph the family of curves tangent to the force fi...

Multivariable Calculus

Use induction on n to prove the Power Rule for Exponents, amn=amn. See Exercise 37.

College Algebra (MindTap Course List)

Solve each of the following equations using the addition principle of equality. Check each answer. 5.07=r3.07

Mathematics For Machine Technology

Using Lagrange Multipliers In Exercises 310, use Lagrange Multipliers to find the indicated extrema, assuming t...

Calculus (MindTap Course List)

Landscaping Labor Costs. Joan’s Nursery specializes in custom-designed landscaping for residential areas. The e...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Personal Health Expenditures. Data made available through the Petersen-Kaiser Health System Tracker in May 2018...

Essentials Of Statistics For Business & Economics

For these exercises, round all estimates to one decimal place. A Tabulated Function The following table gives v...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Problems 2730 express the solution of the given initial-value problem in terms of an integral-defined functi...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Find function defined on the sdet of nonnegative integers that can used to define the sequences whose first six...

Discrete Mathematics With Applications

Consider the following one-to-one correspondence between the set A of all even integers and the set N of all na...

Mathematics: A Practical Odyssey

Suppose X~ N(—3, 1). Between what x values does 95.35% of the data lie? The range of x values Is centered at th...

Introductory Statistics

In the following exercises, use the graph of the function y=g(x) shown here to find the values, if possible. Es...

Calculus Volume 1