Introduction to Probability and Statistics
Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Textbook Question
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Chapter 1, Problem 1.38SE

Quantitative or Qualitative? Identify each variable as quantitative or qualitative:
a. Ethnic origin of a candidate for public office
b. Score (0−100) on a placement examination
c. Fast-food restaurant preferred by a student(McDonald’s, Burger King, or Carl’s Jr.)
d. Mercury concentration in a sample of tuna

Expert Solution
Check Mark
To determine

(a)

Whether the given variable is qualitative or quantitative.

Answer to Problem 1.38SE

Qualitative

Explanation of Solution

Given information:

A statistical variable is given as - Ethnic origin of a candidate for a Public office.

Calculation:

A statistical variable is a characteristic that changes/varies over time for the objects under consideration.

An experimental unit is the individual or object on which a variable is measured.

Variables are of two types -

  1.) A variable which measures quality or characteristics on each experimental unit is called a qualitative variable.

  2.) A variable which measures numerical quantity or amount on each experimental unit is called a quantitative variable.

Given statistical variable is - Ethnic origin of a candidate for a Public office.

Here, ethnicity is being measured which is qualitative in nature.

Hence, nature of given variable is qualitative.

Expert Solution
Check Mark
To determine

(b)

Whether the given variable is qualitative or quantitative.

Answer to Problem 1.38SE

Quantitative

Explanation of Solution

Given information:

A statistical variable is given as - Score (0100) obtained in an examination.

Calculation:

A statistical variable is a characteristic that changes/varies over time for the objects under consideration.

An experimental unit is the individual or object on which a variable is measured.

Variables are of two types -

  1.) A variable which measures quality or characteristics on each experimental unit is called a qualitative variable.

  2.) A variable which measures numerical quantity or amount on each experimental unit is called a quantitative variable.

Given statistical variable is - Score (0100) obtained in an examination.

Here, test is being measured which is quantitative in nature.

Hence, nature of given variable is quantitative.

Expert Solution
Check Mark
To determine

(c)

Whether the given variable is qualitative or quantitative.

Answer to Problem 1.38SE

Qualitative

Explanation of Solution

Given information:

A statistical variable is given as - Fast food restaurant preferred by students (McDonald's, Burger Kings, or Carl's Jr.)

Calculation:

A statistical variable is a characteristic that changes/varies over time for the objects under consideration.

An experimental unit is the individual or object on which a variable is measured.

Variables are of two types -

  1.) A variable which measures quality or characteristics on each experimental unit is called a qualitative variable.

  2.) A variable which measures numerical quantity or amount on each experimental unit is called a quantitative variable.

Given statistical variable is - Fast food restaurant preferred by students (McDonald's, Burger Kings, or Carl's Jr.)

Here, food preference of students is being measured which is qualitative in nature.

Hence, nature of given variable is qualitative.

Expert Solution
Check Mark
To determine

(d)

Whether the given variable is qualitative or quantitative.

Answer to Problem 1.38SE

Quantitative

Explanation of Solution

Given information:

A statistical variable is given as - Mercury concentration in a sample of Tuna.

Calculation:

A statistical variable is a characteristic that changes/varies over time for the objects under consideration.

An experimental unit is the individual or object on which a variable is measured.

Variables are of two types -

  1.) A variable which measures quality or characteristics on each experimental unit is called a qualitative variable.

  2.) A variable which measures numerical quantity or amount on each experimental unit is called a quantitative variable.

Given statistical variable is - Mercury concentration in a sample of Tuna.

Here, mercury concentration in a sample of Tuna is being measured which is quantitative in nature.

Hence, nature of given variable is quantitative.

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Chapter 1 Solutions

Introduction to Probability and Statistics

Ch. 1.3 - Jeans A manufacturer of jeans has plants in...Ch. 1.3 - Prob. 1.12ECh. 1.3 - Want to Be President? Would you want to be the...Ch. 1.3 - Facebook Fanatics The social networking site...Ch. 1.3 - Back to Work How long does it take you to adjust...Ch. 1.5 - Construct a stem and leaf plot for these 50...Ch. 1.5 - Refer to Exercise 1.16. Construct a relative...Ch. 1.5 - Prob. 1.18ECh. 1.5 - A discrete variable can take on oniy the values 0....Ch. 1.5 - Prob. 1.20ECh. 1.5 - Prob. 1.21ECh. 1.5 - Prob. 1.22ECh. 1.5 - Cheeseburgers Create a dotplot for the number of...Ch. 1.5 - Prob. 1.24ECh. 1.5 - Prob. 1.25ECh. 1.5 - Prob. 1.26ECh. 1.5 - Education Pays Off! Education pays off, according...Ch. 1.5 - Preschool The ages (in months) at which 50...Ch. 1.5 - Prob. 1.29ECh. 1.5 - Prob. 1.30ECh. 1.5 - Prob. 1.31ECh. 1.5 - Prob. 1.32ECh. 1.5 - Prob. 1.33ECh. 1.5 - RBC Counts The red blood cell count of a healthy...Ch. 1.5 - Prob. 1.35ECh. 1.5 - Prob. 1.36ECh. 1.5 - Hazardous Waste How safe is your neighborhood? Are...Ch. 1 - Quantitative or Qualitative? Identify each...Ch. 1 - Symmetric or Skewed? Do you expect the...Ch. 1 - Continuous or Discrete? Identify each variable as...Ch. 1 - Prob. 1.41SECh. 1 - Continuous or Discrete, again Identify each...Ch. 1 - Aqua Running Aqua running has been suggested as a...Ch. 1 - Prob. 1.44SECh. 1 - Ages of Pennies We collected 50 pennies and...Ch. 1 - Prob. 1.46SECh. 1 - Presidential Vetoes Here is a list of the 44...Ch. 1 - Prob. 1.48SECh. 1 - Prob. 1.49SECh. 1 - Prob. 1.50SECh. 1 - Prob. 1.51SECh. 1 - Prob. 1.52SECh. 1 - Prob. 1.53SECh. 1 - Student Heights The self-reported heights of 105...Ch. 1 - Prob. 1.55SECh. 1 - Pulse Rates A group of 50 biomedical students...Ch. 1 - Prob. 1.57SECh. 1 - Prob. 1.58SECh. 1 - Prob. 1.59SECh. 1 - Prob. 1.60SECh. 1 - Prob. 1.61SECh. 1 - Old Faithful The data below are the wailing times...Ch. 1 - Prob. 1.63SECh. 1 - Prob. 1.64SECh. 1 - Prob. 1.65SECh. 1 - The number of Starhucks coffee shops in cities...Ch. 1 - What’s Normal? The 98.6 degree standard for human...
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