STATISTICS WK 1-3 COMPLETE TEST
WITH ANSWERS
T or F:
Data is a subset of the population studied - ANSWER-false
A sample is defined as a subset of the population studied. Data is defined as a set of
observations or possible outcomes.
Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a
randomly selected group of 200 parents whether or not they use cloth diapers. What is the
parameter? - ANSWER-
A parameter is - ANSWER-a number that is a property of the population.
Sometimes, when the population is small enough, there is no need to take a sample, and so
determining a parameter is easier and a more accurate reflection of the population. A
statistic is a number that represents a property of the sample. The statistic is an estimate of
a population parameter.
A statistic and a parameter are - ANSWER-both descriptions of groups, but they represent
different groups
Data are information about.... - ANSWER-populations or samples. Generally, there are
unknown characteristics, or variables, about a population that we wish to know. To obtain
this information, we collect data by sampling some members of a population. Once collected,
the data are used as the actual values of the variables. Data may be numbers (quantitative
data) or they may be words (qualitative data)
Data - ANSWER-Facts and statistics collected together for reference or analysis
,You want to find the average test score of the students in every math class in 11th grade.
There are 15 math classes in 11th grade. You survey the scores of 7 math classes, and you
calculate that the average test score is 83%.
Which of the following represent the sample and the parameter in this scenario? - ANSWER-
Parameter: There is no parameter in this scenario.
The sample of 7 math classes is a portion of the total population (15 math classes).
A parameter is a number that is representative of the population, but the 83% is the average
test score determined from the sample. 83% is the statistic here, because it is a number that
represents the sample.
There are 6000 people who attended a political debate at a convention center. There are
three candidates who are participating in the debate - Mr. Smith, Mr. Jones, or Ms. Roberts.
You want to find out which candidate is most popular amongst the people attending. You
ask 500 people as they walk into the convention center. - ANSWER-The 6000 people
attending the debate
The three candidates should not be surveyed in order to determine which candidate is most
popular amongst the people attending. The population is the total number of people who
are attending the political debate.
In order to study the shoe sizes of people in his town, Billy samples the population by
dividing the residents by age and randomly selecting a proportionate number of residents
from each age group. Which type of sampling is used? - ANSWER-Stratified sampling
This scenario demonstrates stratified sampling. Stratified sampling involves dividing the
population into groups and randomly selecting a proportionate number of individuals from
each group
systematic sampling - ANSWER-A procedure in which the selected sampling units are spaced
regularly throughout the population; that is, every n'th unit is selected.
, Stratified sampling - ANSWER-a variation of random sampling; the population is divided into
subgroups and weighted based on demographic characteristics of the national population
conveinance sampling - ANSWER-is a non-probability sampling technique where subjects are
selected because of their convenient accessibility and proximity to the researcher.
cluster sampling - ANSWER-A probability sampling technique in which clusters of
participants within the population of interest are selected at random, followed by data
collection from all individuals in each cluster.
In reference to different sampling methods, is the following statement true or false?
Cluster sampling includes the steps: divide the population into groups; use simple random
sampling to identify a proportionate number of individuals from each group. - ANSWER-
FALSE
Cluster sampling includes the steps: use simple random sampling to select a set of groups;
every individual in the chosen groups is included in the sample. Stratified sampling includes
the steps: divide the population into groups; use simple random sampling to identify a
proportionate number of individuals from each group.
a cluster sample is... - ANSWER-obtained by dividing the population into groups and
selecting all individuals from within a random sample of groups.
Thomas wants to estimate the mean height of students attending his college. He records the
heights of 25 randomly selected students attending the college. What is the parameter? -
ANSWER-
A 2016 Pew Research poll estimated the proportion of people supporting each presidential
candidate in the fall election. They based their estimates on telephone interviews of 2,010
adults living in all 50 U.S. states. They asked each participant which presidential and vice
presidential candidate they support, and used that data to calculate the proportions. What is
WITH ANSWERS
T or F:
Data is a subset of the population studied - ANSWER-false
A sample is defined as a subset of the population studied. Data is defined as a set of
observations or possible outcomes.
Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a
randomly selected group of 200 parents whether or not they use cloth diapers. What is the
parameter? - ANSWER-
A parameter is - ANSWER-a number that is a property of the population.
Sometimes, when the population is small enough, there is no need to take a sample, and so
determining a parameter is easier and a more accurate reflection of the population. A
statistic is a number that represents a property of the sample. The statistic is an estimate of
a population parameter.
A statistic and a parameter are - ANSWER-both descriptions of groups, but they represent
different groups
Data are information about.... - ANSWER-populations or samples. Generally, there are
unknown characteristics, or variables, about a population that we wish to know. To obtain
this information, we collect data by sampling some members of a population. Once collected,
the data are used as the actual values of the variables. Data may be numbers (quantitative
data) or they may be words (qualitative data)
Data - ANSWER-Facts and statistics collected together for reference or analysis
,You want to find the average test score of the students in every math class in 11th grade.
There are 15 math classes in 11th grade. You survey the scores of 7 math classes, and you
calculate that the average test score is 83%.
Which of the following represent the sample and the parameter in this scenario? - ANSWER-
Parameter: There is no parameter in this scenario.
The sample of 7 math classes is a portion of the total population (15 math classes).
A parameter is a number that is representative of the population, but the 83% is the average
test score determined from the sample. 83% is the statistic here, because it is a number that
represents the sample.
There are 6000 people who attended a political debate at a convention center. There are
three candidates who are participating in the debate - Mr. Smith, Mr. Jones, or Ms. Roberts.
You want to find out which candidate is most popular amongst the people attending. You
ask 500 people as they walk into the convention center. - ANSWER-The 6000 people
attending the debate
The three candidates should not be surveyed in order to determine which candidate is most
popular amongst the people attending. The population is the total number of people who
are attending the political debate.
In order to study the shoe sizes of people in his town, Billy samples the population by
dividing the residents by age and randomly selecting a proportionate number of residents
from each age group. Which type of sampling is used? - ANSWER-Stratified sampling
This scenario demonstrates stratified sampling. Stratified sampling involves dividing the
population into groups and randomly selecting a proportionate number of individuals from
each group
systematic sampling - ANSWER-A procedure in which the selected sampling units are spaced
regularly throughout the population; that is, every n'th unit is selected.
, Stratified sampling - ANSWER-a variation of random sampling; the population is divided into
subgroups and weighted based on demographic characteristics of the national population
conveinance sampling - ANSWER-is a non-probability sampling technique where subjects are
selected because of their convenient accessibility and proximity to the researcher.
cluster sampling - ANSWER-A probability sampling technique in which clusters of
participants within the population of interest are selected at random, followed by data
collection from all individuals in each cluster.
In reference to different sampling methods, is the following statement true or false?
Cluster sampling includes the steps: divide the population into groups; use simple random
sampling to identify a proportionate number of individuals from each group. - ANSWER-
FALSE
Cluster sampling includes the steps: use simple random sampling to select a set of groups;
every individual in the chosen groups is included in the sample. Stratified sampling includes
the steps: divide the population into groups; use simple random sampling to identify a
proportionate number of individuals from each group.
a cluster sample is... - ANSWER-obtained by dividing the population into groups and
selecting all individuals from within a random sample of groups.
Thomas wants to estimate the mean height of students attending his college. He records the
heights of 25 randomly selected students attending the college. What is the parameter? -
ANSWER-
A 2016 Pew Research poll estimated the proportion of people supporting each presidential
candidate in the fall election. They based their estimates on telephone interviews of 2,010
adults living in all 50 U.S. states. They asked each participant which presidential and vice
presidential candidate they support, and used that data to calculate the proportions. What is
