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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
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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
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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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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
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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
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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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