MATH-164 - Chapter 1 - 4 Review - Exam 1 With
Complete Solutions
Determine whether the variable is qualitative or quantitative.
Weight
Is the variable qualitative or quantitative? - ANSWER The variable is quantitative because
it is a numerical
measure.
Determine whether the quantitative variable is discrete or continuous.
Number of days of rainfall in a year
Is the variable discrete or continuous? - ANSWER The variable is discrete because it is
countable.
Determine whether the quantitative variable is discrete or continuous.
Number of pieces of lumber used to make a deck
Is the variable discrete or continuous? - ANSWER The variable is discrete because it is
countable.
The data on the right relate 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. - ANSWER What are the
individuals being studied?
The high-definition television setups A through E.
What are the variables and their corresponding data being studied?
Size (48,46,43,43,50),screen type (Projection,Plasma, Plasma,Plasma, Plasma),and number
of channels available(300,117,423,269,289)
Determine whether each variable is qualitative, continuous, or discrete.
Size is a continuous variable.
Determine whether the following statement is true or false. Explain.
When conducting a cluster sample, it is better to have fewer clusters with more
individuals when the clusters are heterogeneous. - ANSWER True, because when the
clusters are heterogeneous, they are scaled down versions of the population.
Determine whether the following statement is true or false. Explain.
When obtaining a stratified sample, the number of individuals included within each
stratum must be equal. - ANSWER False. Within stratified samples, the number of
individuals sampled from each stratum should be proportional to the size of the strata in
the population.
,To estimate the percentage of defects in a recent manufacturing batch, a quality control
manager at Toyota selects every 11th
car that comes off the assembly line starting with the second
until she obtains a sample of 120cars. - ANSWER Systematic
To determine customer opinion of their pricing, Amtrak randomly selects 100 trains
during a certain week and surveys all passengers on the trains.
What type of sampling is used? - ANSWER Cluster
Maytag
wants to administer a satisfaction survey to its current customers. Using their
customerdatabase, the company randomly selects
30 customers and asks them about their level of satisfaction with the company. -
ANSWER Simple random
A television station asks its viewers to call in their opinion regarding
the variety of sports - ANSWER Convenience
To determine her blood sugar level, Jean divides up her day into three parts: morning,
afternoon, and evening. She then measures her blood sugar level at 3 randomly selected
times during each part of the day.
, What type of sampling is used? - ANSWER Stratified
A club wants to sponsor a panel discussion on an upcoming election. The club wants to
have four of its members lead the panel discussion. To be fair, however, the panel should
consist of two members of each party. Below is a list of members in each party. Obtain a
stratified sample of two people from party 1 and two from party 2.
Which of the following is a possible list of club members to lead the panel discussion? -
ANSWER Pawlak, Wright, Ochs, Keating
For a poll of voters regarding a referendum calling for a national food and drug
administration, design a sampling method to obtain the inviduals in the sample. Be sure
to support your choice.
Which sampling method would most likely be used in a poll of voters regarding a
referendum calling for a national food and drug administration? - ANSWER Use stratified
random sampling. Since this is a national issue, different geographical locations are likely
to have similar views.
A pharmaceutical company wants to conduct a survey of
25 individuals who have high cholesterol. The company has obtained a list from primary
care physicians throughout the country of 4000 individuals who are known to have high
cholesterol. Design a sampling method to obtain the individuals in the sample. Be sure
to support the choice. - ANSWER A. Group the individuals by common primary care
physician. For each group, assign all the individuals different numbers, and use a random
number table to select an appropriate number of individuals.
Complete Solutions
Determine whether the variable is qualitative or quantitative.
Weight
Is the variable qualitative or quantitative? - ANSWER The variable is quantitative because
it is a numerical
measure.
Determine whether the quantitative variable is discrete or continuous.
Number of days of rainfall in a year
Is the variable discrete or continuous? - ANSWER The variable is discrete because it is
countable.
Determine whether the quantitative variable is discrete or continuous.
Number of pieces of lumber used to make a deck
Is the variable discrete or continuous? - ANSWER The variable is discrete because it is
countable.
The data on the right relate 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. - ANSWER What are the
individuals being studied?
The high-definition television setups A through E.
What are the variables and their corresponding data being studied?
Size (48,46,43,43,50),screen type (Projection,Plasma, Plasma,Plasma, Plasma),and number
of channels available(300,117,423,269,289)
Determine whether each variable is qualitative, continuous, or discrete.
Size is a continuous variable.
Determine whether the following statement is true or false. Explain.
When conducting a cluster sample, it is better to have fewer clusters with more
individuals when the clusters are heterogeneous. - ANSWER True, because when the
clusters are heterogeneous, they are scaled down versions of the population.
Determine whether the following statement is true or false. Explain.
When obtaining a stratified sample, the number of individuals included within each
stratum must be equal. - ANSWER False. Within stratified samples, the number of
individuals sampled from each stratum should be proportional to the size of the strata in
the population.
,To estimate the percentage of defects in a recent manufacturing batch, a quality control
manager at Toyota selects every 11th
car that comes off the assembly line starting with the second
until she obtains a sample of 120cars. - ANSWER Systematic
To determine customer opinion of their pricing, Amtrak randomly selects 100 trains
during a certain week and surveys all passengers on the trains.
What type of sampling is used? - ANSWER Cluster
Maytag
wants to administer a satisfaction survey to its current customers. Using their
customerdatabase, the company randomly selects
30 customers and asks them about their level of satisfaction with the company. -
ANSWER Simple random
A television station asks its viewers to call in their opinion regarding
the variety of sports - ANSWER Convenience
To determine her blood sugar level, Jean divides up her day into three parts: morning,
afternoon, and evening. She then measures her blood sugar level at 3 randomly selected
times during each part of the day.
, What type of sampling is used? - ANSWER Stratified
A club wants to sponsor a panel discussion on an upcoming election. The club wants to
have four of its members lead the panel discussion. To be fair, however, the panel should
consist of two members of each party. Below is a list of members in each party. Obtain a
stratified sample of two people from party 1 and two from party 2.
Which of the following is a possible list of club members to lead the panel discussion? -
ANSWER Pawlak, Wright, Ochs, Keating
For a poll of voters regarding a referendum calling for a national food and drug
administration, design a sampling method to obtain the inviduals in the sample. Be sure
to support your choice.
Which sampling method would most likely be used in a poll of voters regarding a
referendum calling for a national food and drug administration? - ANSWER Use stratified
random sampling. Since this is a national issue, different geographical locations are likely
to have similar views.
A pharmaceutical company wants to conduct a survey of
25 individuals who have high cholesterol. The company has obtained a list from primary
care physicians throughout the country of 4000 individuals who are known to have high
cholesterol. Design a sampling method to obtain the individuals in the sample. Be sure
to support the choice. - ANSWER A. Group the individuals by common primary care
physician. For each group, assign all the individuals different numbers, and use a random
number table to select an appropriate number of individuals.
