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OpenStax Statistics Instructor Solutions Manual | Instructor Answer Guide (IAG)

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This OpenStax Statistics Instructor Solutions Manual functions as a complete Instructor Answer Guide (IAG), providing clear, instructor-verified worked solutions for statistics problems across the OpenStax curriculum. Covered topics include descriptive statistics, probability, random variables, sampling distributions, confidence intervals, hypothesis testing, regression, correlation, and ANOVA. Ideal for instructors, students, homework verification, grading support, and exam preparation, this converted PDF supports accurate problem-solving and strong conceptual understanding in introductory statistics courses.

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Uploaded on
January 11, 2026
Number of pages
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Written in
2025/2026
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download:- OPENSTAX//Student Study
Statistics_Instructor_Solutions_Manual
Guide and Solution Manual (Latest edition)
(1).docx
written by The Author. 1




1 //2026 Page 1

,download:- OPENSTAX//Student Study
Statistics_Instructor_Solutions_Manual
Guide and Solution Manual (Latest edition)
(1).docx
written by The Author. 2
Statistics
Instructor Solutions Manual

This instructional material was initially created through a Texas Education Agency (TEA) initiative to provide high-
quality open-source instructional materials to districts free of charge. Funds were allocated by the 84th Texas
Legislature (2015) for the creation of state-developed, open-source instructional materials with the request that
advanced secondary courses supporting the study of science, technology, engineering, and mathematics should be
prioritized.



Chapter 1: SAMPLING AND DATA

Exercise 1 Below is a two-way table showing the types of college sports played by men
and women:

Soccer Basketball Lacrosse Total
Women 8 8 4 20
Men 4 12 4 20
Total 12 20 8 40
Given these data, calculate the marginal distributions of college sports for the
people surveyed.


Solution




Exercise 2 Below is a two-way table showing the types of college sports played by men
and women:

Soccer Basketball Lacrosse Total
Women 8 8 4 20
Men 4 12 4 20
Total 12 20 8 40
Given these data, calculate the conditional distributions for the subpopulation
of women who play college sports.


Solution




Exercise 3. Studies are often done by pharmaceutical companies to determine the
effectiveness of a treatment program. Suppose that a new viral antibody drug
is currently under study. It is given to patients once the virus's symptoms have



2 //2026 Page 2

,download:- OPENSTAX//Student Study
Statistics_Instructor_Solutions_Manual
Guide and Solution Manual (Latest edition)
(1).docx
written by The Author. 3
Statistics
Instructor Solutions Manual

revealed themselves. Of interest is the average (mean) length of time in months
patients live once they start the treatment. Two researchers each follow a
different set of 40 patients with the viral disease from the start of treatment
until their deaths. The following data (in months) are collected.
Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27;
33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24;
18; 47; 33; 34
Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22;
31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24;
23; 42; 33; 29
Determine what the key term "population" refers to in the example for
Researcher A.

Solution Viral disease patients.

Exercise 4. Studies are often done by pharmaceutical companies to determine the
effectiveness of a treatment program. Suppose that a new viral antibody drug
is currently under study. It is given to patients once the virus's symptoms have
revealed themselves. Of interest is the average (mean) length of time in months
patients live once they start the treatment. Two researchers each follow a
different set of 40 patients with the viral disease from the start of treatment
until their deaths. The following data (in months) are collected.
Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27;
33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24;
18; 47; 33; 34
Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22;
31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24;
23; 42; 33; 29
Determine what the key term "sample" refers to in the example for Researcher
A.

Solution Viral disease patients sampled from researcher A and researcher B.

Exercise 5. Studies are often done by pharmaceutical companies to determine the
effectiveness of a treatment program. Suppose that a new viral antibody drug
is currently under study. It is given to patients once the virus's symptoms have
revealed themselves. Of interest is the average (mean) length of time in months
patients live once they start the treatment. Two researchers each follow a
different set of 40 patients with the viral disease from the start of treatment
until their deaths. The following data (in months) are collected.
Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27;
33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24;
18; 47; 33; 34
Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22;
31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24;
23; 42; 33; 29



3 //2026 Page 3

, download:- OPENSTAX//Student Study
Statistics_Instructor_Solutions_Manual
Guide and Solution Manual (Latest edition)
(1).docx
written by The Author. 4
Statistics
Instructor Solutions Manual

Determine what the key term "parameter" refers to in the example for
Researcher A.

Solution The average length of time (in months) patients live after treatment.

Exercise 6. Studies are often done by pharmaceutical companies to determine the
effectiveness of a treatment program. Suppose that a new viral antibody drug
is currently under study. It is given to patients once the virus's symptoms have
revealed themselves. Of interest is the average (mean) length of time in months
patients live once they start the treatment. Two researchers each follow a
different set of 40 patients with the viral disease from the start of treatment
until their deaths. The following data (in months) are collected.
Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27;
33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24;
18; 47; 33; 34
Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22;
31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24;
23; 42; 33; 29
Determine what the key term "statistic" refers to in the example for Researcher
A.

Solution The average length of time (in months) patients from the sample live after
treatment.

Exercise 7. Studies are often done by pharmaceutical companies to determine the
effectiveness of a treatment program. Suppose that a new viral antibody drug
is currently under study. It is given to patients once the virus's symptoms have
revealed themselves. Of interest is the average (mean) length of time in months
patients live once they start the treatment. Two researchers each follow a
different set of 40 patients with the viral disease from the start of treatment
until their deaths. The following data (in months) are collected.
Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27;
33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24;
18; 47; 33; 34
Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22;
31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24;
23; 42; 33; 29
Determine what the key term "variable" refers to in the example for
Researcher A.

Solution X = the length of time (in months) patients live after treatment

Exercise 8. Number of times per week is what type of data?
a. qualitative; b. quantitative discrete; c. quantitative continuous

Solution b




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