MATH 54Chapter 1 Review
MATH 54Chapter 1 Review
Section 1.1 Interactive Assignment
1.1.RA-1
Are the following statements true or false? Justify your answers.
Complete parts (a) through (c) below.
(a) In statistics, results are always reported with 100% certainty.
Choose the correct answer below.
False. In statistics, results are not reported with 100% certainty.
Because statistical studies draw on samples, and because there is
variation within groups, results cannot be reported with 100%
certainty.
(b) Statistical studies are not concerned with understanding the
sources of variability in data, only with describing the variability in the
data. Choose the correct answer below.
False. Statistical studies are concerned with both describing the
variability in the data and understanding the sources of variability in
data. Understanding the sources allows researchers to control it and
reach better conclusions.
(c) Suppose three different individuals conduct the same statistical
study, such as estimating the average commute time of students at a
college. It is possible that all three studies end up with different results.
Choose the correct answer below.
True. Statistical studies typically look at samples rather than entire
populations. Since each study is likely to draw different samples, it is
quite possible that each study ends up with different results, due to
variability in the data.
1.1.11 Determine whether the underlined value is a parameter or a
statistic.
Telephone interviews of 1,502 adults 18 years of age or older found tha
t only 69% could identify the current vice-president.
Is the value a parameter or a statistic?
The value is a statistic because the 1,502 adults 18 years of age or
older are a sample.
1.1.51 A news service conducted a survey of 1095 adults ages 18
years or older in a certain country, August 31−September 2, 2015. The
respondents were asked, "Of every tax dollar that goes to the federal
government, how many cents of each dollar would you say are
wasted?" Of the 1095 individuals surveyed, 35% indicated that 51
cents or more is wasted. The news service reported that 35% of all
adults in the country 18 years or older believe the federal government
wastes at least 51 cents of each dollar spent, with a margin of error of
,MATH 54Chapter 1 Review
3% and a 99% level of confidence. Complete parts (a) through (e)
below.
(a) What is the research objective?
To determine the percent of adults in the country who believe the
,MATH 54Chapter 1 Review
federal government wastes 51 cents or more of every dollar
(b) What is the population?
Adults in the country aged 18 years or older
(c) What is the sample?
The 1095 adults in the country that were surveyed
(d) List the descriptive statistics. Choose the correct answer below.
35% of the individuals surveyed indicated that 51 cents or more is
wasted.
(e) What can be inferred from this survey?
The news service is 99% confident that the percentage of all adults in
the country who believe the federal government wastes 51 cents or
more of every dollar received is between 32% and 38%.
1.1.17 Determine whether the variable is qualitative or quantitative.
Grams of carbohydrates in a donut
Is the variable qualitative or quantitative?
The variable is quantitative because it is a numerical measure.
1.1.27 Determine whether the quantitative variable is discrete or
continuous.
Field goals attempted by a kicker
Is the variable discrete or continuous?
The variable is discrete because it is countable.
1.1.45 The data on below relates to characteristics of high-definition
televisions A through E.
Identify the individuals, variables, and data corresponding to the variables.
Determine whether each variable is qualitative, continuous, or discrete.
Setu Size
Screen Type Number of Channels Available
p (in)
A 60 Projection 300
B 53 Projection 105
C 57 Plasma 423
D 48 Plasma 270
E 42 Projection 290
What are the individuals being studied?
The characteristics of high-definition televisions A through E
What are the variables and their corresponding data being studied?
Size (60, 53, 57, 48, 42), screen type (Projection, Projection, Plasma,
Plasma, Projection), and number of channels available (300, 105, 423,
270, 290)
Determine whether each variable is qualitative, continuous, or discrete.
, MATH 54Chapter 1 Review
Size is a continuous variable.
Screen type is a qualitative variable.
Number of channels available is a discrete variable.
MATH 54Chapter 1 Review
Section 1.1 Interactive Assignment
1.1.RA-1
Are the following statements true or false? Justify your answers.
Complete parts (a) through (c) below.
(a) In statistics, results are always reported with 100% certainty.
Choose the correct answer below.
False. In statistics, results are not reported with 100% certainty.
Because statistical studies draw on samples, and because there is
variation within groups, results cannot be reported with 100%
certainty.
(b) Statistical studies are not concerned with understanding the
sources of variability in data, only with describing the variability in the
data. Choose the correct answer below.
False. Statistical studies are concerned with both describing the
variability in the data and understanding the sources of variability in
data. Understanding the sources allows researchers to control it and
reach better conclusions.
(c) Suppose three different individuals conduct the same statistical
study, such as estimating the average commute time of students at a
college. It is possible that all three studies end up with different results.
Choose the correct answer below.
True. Statistical studies typically look at samples rather than entire
populations. Since each study is likely to draw different samples, it is
quite possible that each study ends up with different results, due to
variability in the data.
1.1.11 Determine whether the underlined value is a parameter or a
statistic.
Telephone interviews of 1,502 adults 18 years of age or older found tha
t only 69% could identify the current vice-president.
Is the value a parameter or a statistic?
The value is a statistic because the 1,502 adults 18 years of age or
older are a sample.
1.1.51 A news service conducted a survey of 1095 adults ages 18
years or older in a certain country, August 31−September 2, 2015. The
respondents were asked, "Of every tax dollar that goes to the federal
government, how many cents of each dollar would you say are
wasted?" Of the 1095 individuals surveyed, 35% indicated that 51
cents or more is wasted. The news service reported that 35% of all
adults in the country 18 years or older believe the federal government
wastes at least 51 cents of each dollar spent, with a margin of error of
,MATH 54Chapter 1 Review
3% and a 99% level of confidence. Complete parts (a) through (e)
below.
(a) What is the research objective?
To determine the percent of adults in the country who believe the
,MATH 54Chapter 1 Review
federal government wastes 51 cents or more of every dollar
(b) What is the population?
Adults in the country aged 18 years or older
(c) What is the sample?
The 1095 adults in the country that were surveyed
(d) List the descriptive statistics. Choose the correct answer below.
35% of the individuals surveyed indicated that 51 cents or more is
wasted.
(e) What can be inferred from this survey?
The news service is 99% confident that the percentage of all adults in
the country who believe the federal government wastes 51 cents or
more of every dollar received is between 32% and 38%.
1.1.17 Determine whether the variable is qualitative or quantitative.
Grams of carbohydrates in a donut
Is the variable qualitative or quantitative?
The variable is quantitative because it is a numerical measure.
1.1.27 Determine whether the quantitative variable is discrete or
continuous.
Field goals attempted by a kicker
Is the variable discrete or continuous?
The variable is discrete because it is countable.
1.1.45 The data on below relates to characteristics of high-definition
televisions A through E.
Identify the individuals, variables, and data corresponding to the variables.
Determine whether each variable is qualitative, continuous, or discrete.
Setu Size
Screen Type Number of Channels Available
p (in)
A 60 Projection 300
B 53 Projection 105
C 57 Plasma 423
D 48 Plasma 270
E 42 Projection 290
What are the individuals being studied?
The characteristics of high-definition televisions A through E
What are the variables and their corresponding data being studied?
Size (60, 53, 57, 48, 42), screen type (Projection, Projection, Plasma,
Plasma, Projection), and number of channels available (300, 105, 423,
270, 290)
Determine whether each variable is qualitative, continuous, or discrete.
, MATH 54Chapter 1 Review
Size is a continuous variable.
Screen type is a qualitative variable.
Number of channels available is a discrete variable.
