WorksheetsStatistics Unit 1 Review
Total questions: 115
Worksheet time: 2hrs 9mins
A sample is a
subset of the main population that has similar characteristics
subset of the main population
population of the study
representation of the population
If you were planning to study the differences in gender when it comes to procrastination in completing assignments. A good sampling technique to address gender equality is
Simple random sampling
Systematic sampling
Stratified sampling
Cluster sampling
If you were conducting a qualitative case study and you feel that your neighbour and anyone that you can easily reach is also good enough then you are using a
convenience sampling technique
Cluster sampling technique
Snowball sampling technique
Stratified sampling technique
If you select your sample based on preset criteria or characteristic then you are using
Judgmental sampling
Snowball sampling
Simple random sampling
quota sampling
What do we call the non-probability sampling that involves the sample being drawn from that part of the population that is close at hand?
Convenience Sampling
Simple Random Sampling
Systematic Sampling
Cluster Sampling
What do we call the probability sampling in which the researcher randomly selects a subset of participants from a population?
Convenience Sampling
Cluster Sampling
Simple Random Sampling
Stratified Sampling
What do we call probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval?
Cluster Sampling
Convenience Sampling
Stratified Sampling
Systematic Sampling
What do we call a sample that is drawn from a number of separate strata of the population, rather than at random from the whole population, in order that it should be representative?
Systematic Sample
Stratified Sample
Simple Random Sample
Convenience Sample
What type of sampling occurs when researchers divide a population into smaller groups, then randomly select among these groups to form a sample?
Cluster Sampling
Simple Random Sampling
Convenience Sampling
Systematic Sampling
You want to gain data about the standardized test scores for all the fifth graders in your county. You have access to lists of fifth graders at other local schools and decide to sample randomly from groups of these fifth graders. What type of sampling did you use?
Simple Random Sampling
Convenience Sampling
Cluster Sampling
Stratified Sampling
You want to survey some local people about changes to the county's transit system. You spend the day at a nearby movie theatre, and survey the people who are leaving. What type of sampling was this?
Simple Random Sampling
Systematic Sampling
Stratified Sampling
Convenience Sampling
You are going to poll a sample of students at your school about their views on recess. You put all 300 students' names into a hat, and pull out 30 of them to survey. What type of sampling is this?
Simple Random Sampling
Systematic Sampling
Cluster Sampling
Stratified Sampling
A political pollster wants to survey the population in your state on how they will vote in the next election. They take a list of all the registered voters and send the survey to every fifth person on the list. What kind of sampling is this?
Convenience Sampling
Systematic Sampling
Simple Random Sampling
Stratified Sampling
What kind of sampling are we using if we first divide our population into groups based upon some factor like age, gender, or voting preference?
Stratified Sampling
Systematic Sampling
Simple Random Sampling
Cluster Sampling
A ______ is the entire set of objects from which data might be collected
sample
population
sample statistic
population characteristic
A _______ is a subset or part of the population that you can collect data from.
sample
population
sample statistic
population characteristic
True or False:
All samples lead to a good prediction about the entire population.
True
False
A student wants to know which type of of pizza middle school students prefer. Which of the following options is a good, representative sample of the population?
Asking all of the 5th graders
Asking 20 students from each grade level in the middle school
Asking all of the teachers
Asking the students who walk to school each day
A beverage company wants to see if people in the United States like their new logo. Which of the following represents the population?
2,000 middle school students
A selection of logo designers
A selection of shoppers from different states
All of the people in the United States
A beverage company wants to see if people in the United States like their new logo. Which of the following would be the best selection for a sample.
2,000 middle school students
A selection of logo designers
A selection of shoppers from different states
All of the people in the United States
Which of the following is NOT a reason why random samples are preferred over surveying the entire population.
A random sample allows you to survey whoever you are friends with
Surveying the entire country may cost too much money
Surveying the entire population may take too much time
Surveying the entire country may be difficult if everyone does not respond
For which of the following situations would you want to collect a sample rather than surveying the entire population?
The typical number of home runs for a player on the local baseball team
How many students in our class like mushrooms on pizza
How many students in our class have more than one pet
The median price of homes in Ohio
A toy store owner wants to know how much kids spend each month on toys. Which choice is the best representation of the population?
220 wealthy kids
All kids who buy toys
100 boys between ages 8 to 12
125 girls between ages 4 to 10
Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
30 of her friends
30 randomly selected students in the school
30 students who are often tardy
30 students who are often on time
A school principal wants to see which subject the 695 students in his school liked best. Which choice BEST represents a representative sample?
All girls in the school
All students who have an A in Social Studies
All students who are failing science
1 class from each grade level
True or False:
You want to see how many students take the bus home from school. You go to the bus stop and ask students how they get home everyday. This is a good, representation of the population.
True
False
Interview every 10th student who enters the school in the morning.
simple random
voluntary response
systematic
convenience
Assign each car in a dealership a number and then use a random-number table to select the cars to be inspected.
systematic
simple random sample
convenience
Self - selected (volunteer)
Political webpages often allow readers to rate (if they want to) whether they strongly agree, agree, disagree, or strongly disagree with the President's decision on any given situation. This is a form of:
Self-Selected
Convenience Sampling
Simple Random Sampling
Systematic Random Sampling
Marianne wanted to know students' opinion on the new schedule at school. She survey's the first 30 students who come into her class.
Convenience Sampling
Systematic Random Sampling
Simple Random Sampling
Volunteer response
This is a form of:
A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.
She selects the first five who raise their hands.
Systematic
Convenience
Self Selected
Simple Random
A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.
She selects the five closest to her desk.
simple random
Self Selected.
Convenience
Systematic Random
A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.
She picks the student in every 5th seat.
Simple Random
Systematic
voluntary response
convenience
An independent research company wants to go door to door to survey people in the city of Fontana. The company decides to number all blocks within the city limit, randomly choose 1 block and survey all households on that block.
This is an example of:
Simple Random Sample
Stratified Random Sample
Cluster Random Sample
Systematic Random Sampling
A teacher hands out an index card and asks ALL of her students to write down the following information: age, height (in inches), and what grade they are in.
Which of the following best describes her method of data collection?
Census
Simple Random Sample
Cluster Random Sample
Stratified Random Sample
A teacher wants to know how well her students are doing on a topic. She randomly picks one class to survey.
Simple Random
Cluster
Stratified
Systematic
A teacher splits her classes up by period. She then randomly picks 3 students from each period to do a survey.
Stratified.
Systematic
Cluster
Biased.
To learn about teenagers' opinions of different social media platforms, a survey was given to students of one high school. This sample is...
representative
biased
random
An employer wants to know how their 500 employees like working for them. Which is the most representative sample?
Ask the first 75 people to show up for work
Randomly select the names of 10 employees
Poll the Employees of the Month for the past year
Randomly select the names of 75 employees
To find out what sort of events they should plan, the student government officers at Truth send a survey to 30 students whose names were randomly selected. The population they are interested in is...
The 30 students who were sent the survey
Only the students who respond to the survey
All students at Truth
All middle school students in DC
To find out what sort of events they should plan, the student government officers at Truth send a survey to 30 students whose names were randomly selected. The sample is...
The 30 students who were sent the survey
All students at Truth
The student government officers
Which is an example of a random sample?
Polling the first 10 people who enter a room
Asking a survey question to people who call in
Drawing 10 names from a hat
Why should samples be randomly selected?
for control
to reduce bias
so we don't get the same answers from everyone
A _______ is a part of a the group we are interested in gathering data on that is being surveyed.
Representative
Population
Sample
A _________ is a sample in which each individual or object in the entire population has an equal chance of being selected.
Sample
Population
Random Sample
Bias
Determine if the following study is biased.
Carlos wants to know the favorite sport of people at his school so he asks his baseball team.
A. Biased
B. Unbiased
Determine if the following study is biased.
A public library asked every 10th person who entered to name the type of book they were getting.
A. Biased
B. Unbiased
_______ is the entire group of objects or individuals considered for a survey.
Sample
Quartile
Random Sample
Population
True or False: all samples lead to a good prediction about an entire population.
True
False
What is the difference between a sample and a population?
Populations only consider a portion of the sample being studied.
Samples only consider a portion of the population being studied.
Populations do not always represent the entire group of people in question.
Samples are generally much larger than populations.
What is a survey?
process of collecting statistical data from a small group of a population
Statistics collected from an entire population
An element or feature that can vary
A person chosen from a population
The Women's Health Study randomly assigned nearly 40,000 women over the age of 45 to receive either aspirin or a placebo for over 10 years to examine the effect of aspirin on cancer risk to healthy women. This long-term trial was best conducted as:
a census.
an observational study.
a randomized comparative experiment.
a single-blind randomized comparative experiment.
a double-blind randomized comparative experiment.
In the previous problem, supposed that the researchers suspected that women over the age of 55 may respond differently to the treatment. Given that a random sample of 40,000 women over the age of 45 has already been chosen, the study would have been improved by:
a stratified sample, with strata determined by age.
a stratified sample, with strata determined by gender.
a block design, with blocks determined by age.
a block design, with blocks determined by gender.
a double-blind completely randomized design.
Researchers were interested to know whether internal vehicle temperatures vary by outside temperatures. To evaluate this, temperature rise was measured continuously over a 60-minute period in a dark SUV on 16 different clear, sunny days with outside temperatures ranging from 72oF to 96oF. The researchers' method of analysis is best described as:
a census.
a survey.
an observational study.
a randomized comparative experiment.
a single-blind randomized comparative experiment.
Respondents to a randomly distributed questionnaire answered the question, "do you agree that nuclear weapons should never be used because they are immoral?" The study that uses the results of this questionnaire will most likely suffer from which types(s) of bias?
undercoverage
voluntary response
response
nonresponse
all of the above
A statistics teacher decides to compare this year's students to all those she has taught over the history of the course. She will use the students' examination performances as the method of comparison. Which of the following is true in this context?
The mean performance of this year's students is a parameter.
The mean performance of this year's students is a statistic.
The mean of all except this year's students is a parameter.
The mean of all students is a statistic.
None of these is true.
Left-handedness is the preference for the left hand over the right for everyday activities such as writing. Studies indicate that about 93% of the population may be characterized as right-handed. Researchers would like to conduct a study to determine if left-handed teens differ significantly in their ability to memorize facts than right-handed teens.
The explanatory variable in this study is:
ability to memorize facts.
age.
handedness.
researchers.
none of the above.
Left-handedness is the preference for the left hand over the right for everyday activities such as writing. Studies indicate that about 93% of the population may be characterized as right-handed. Researchers would like to conduct a study to determine if left-handed teens differ significantly in their ability to memorize facts than right-handed teens.
A random-number table is used to simulate the number of teens selected before a left-handed teen is found. A proper assignment of digits is:
let the digits 0-6 represent a left-handed teen and 7-99 represent a right-handed teen; ignore repeats of numbers 7-99 until you get a number from 0-6.
let the digits 0-6 represent a left-handed teen and 7-99 represent a right-handed teen; count repeats of number 7-99 and continue until you get a number from 0-6.
let the digits 00-06 represent a left-handed teen and 07-99 represent a right-handed teen; ignore repeats of numbers 07-99 until you get a number from 00-06.
let the digits 00-06 represent a left-handed teen and 07-99 represent a right-handed teen; count repeats of numbers 07-99 and continue until you get a number from 00-06.
let the digits 01-07 represent a left-handed teen and 08-100 represent a right-handed teen; count repeats of numbers 08-100 and continue until you get a number from 01-07.
Left-handedness is the preference for the left hand over the right for everyday activities such as writing. Studies indicate that about 93% of the population may be characterized as right-handed. Researchers would like to conduct a study to determine if left-handed teens differ significantly in their ability to memorize facts than right-handed teens.
Suppose the researchers concluded that the average number of words memorized by left-handed teens was statistically significantly higher than the average number memorized by right-handed teens. In this context, statistically significant means that:
the number of words memorized by left-handed students exceeded the number memorized by right-handed students.
the average number of words memorized by left-handed students exceeded the average number memorized by right-handed students.
right-handed students tend to not do as well as left-handed students in memorizing words.
it would be unlikely to observe an average difference as large as was observed by chance variation.
a randomized, controlled experiment was conducted.
Pollsters are interested in conducting a survey to determine if students who belonged to an online social network during college continued with it after graduation. They plan to randomly select 50 people from a list of registered voters. A problem with the proposed plan is that the:
sampling frame may be different from the population of interest.
sample size is too small.
sample is a systematic random sample.
sample was not stratified by political party.
sampling design should incorporate multistage sampling.
The purpose of randomization in an experiment is to:
make the experiment seem fair.
make the treatment groups as similar as possible.
make the treatment groups as different as possible.
create the blocks in an experiment.
reduce variability within treatment groups.
Strata are
homogeneous
heterogeneous
heterozygous
heterophonous
Which is not a method of random selection?
Using a table of random digits
Using a random number generator
Drawing numbers out of a hat
Randomly pointing to numbers on a page
Which sampling method reduces variability?
SRS
Stratified
Cluster
Systematic
Frannie and Fiona collect data comparing students' GPA and how many hours per week they spend doing extracurricular activities. This is best described as a(n)
observational study
matched pairs design
experiment
survey
To check the effect of hot temperatures on the elasticity of two brands of rubber bands, one box of Brand A and one box of Brand B rubber bands are tested. Ten bands from the Brand A box are placed in a warm car in the sun for two hours and ten bands from the Brand B box are kept at room temperature. The amount of stretch before the breakage is measured on each rubber band, and the mean for the hot bands is compared to the mean for the others. Is this a good experimental design?
No, because the means are not proper statistics for comparison.
No, because more than two brands should be used.
No, because more temperatures should be used.
No, because temperature is confounded with brand.
Yes
Is this study OBSERVATIONAL or EXPERIMENTAL?
A reading specialist in a large public school system believes that the more time students spend reading, the better they will do in school. She plans a middle school experiment in which an SRS of 30 eighth graders will be assigned four extra hours of reading per week, and SRS of 30 seventh graders will be assigned two extra hours or reading per week, and an SRS of 30 sixth graders with no extra assigned reading will be a control group. After one school year, the mean GPAs from each group will be compared. Is this a good experimental design?
Yes
No, because while this design may point out an association between reading and GPA, it cannot establish a cause-and-effect relationship.
No, because without blinding, there is a strong chance of a placebo effect.
No, because any conclusion would be flawed because of blocking bias.
No, because grade level is a lurking variable which may well be confounded with the variables under consideration.
Situation: Acme Medicine is conducting an experiment to test a new vaccine, developed to immunized people against the common cold. To compare any effects from the vaccine, Acme Medicine researchers will also administer a placebo. To test the vaccine, Acme gathered 1000 volunteers - 500 men and 500 women. The participants range in age from 21 to 70.
Question: Who are the subjects?
Common Cold
1000 volunteers
500 men and 500 women ages 21 to 70.
Situation: Acme Medicine is conducting an experiment to test a new vaccine, developed to immunized people against the common cold. To compare any effects from the vaccine, Acme Medicine researchers will also administer a placebo. To test the vaccine, Acme gathered 1000 volunteers - 500 men and 500 women. The participants range in age from 21 to 70.
Question: What is the factor?
Common Cold
New Vaccine
Immune Response to vaccine
Situation: Acme Medicine is conducting an experiment to test a new vaccine, developed to immunized people against the common cold. To compare any effects from the vaccine, Acme Medicine researchers will also administer a placebo. To test the vaccine, Acme gathered 1000 volunteers - 500 men and 500 women. The participants range in age from 21 to 70.
Question: How many treatments are there? Describe them.
1 treatment: The Vaccine
2 treatments: The Vaccine and The Placebo
3 Treatments: The Vaccine, The Placebo and The Common Cold.
Situation: Acme Medicine is conducting an experiment to test a new vaccine, developed to immunized people against the common cold. To compare any effects from the vaccine, Acme Medicine researchers will also administer a placebo. To test the vaccine, Acme gathered 1000 volunteers - 500 men and 500 women. The participants range in age from 21 to 70.
Question: What is the response variable?
To what degree are the volunteers immunized against the common cold?
How do men and women respond differently to the placebo?
How much of the vaccine can the volunteers tolerate?
Situation: Acme Medicine is conducting an experiment to test a new vaccine, developed to immunized people against the common cold. To compare any effects from the vaccine, Acme Medicine researchers will also administer a placebo. To test the vaccine, Acme gathered 1000 volunteers - 500 men and 500 women. The participants range in age from 21 to 70.
Question: Is there any blindness in the experiment? What level?
No Blindness to either the researcher or the participants
Single Blind: the researchers do not know who received the placebo.
Single Blind: the participants do not know if they received the placebo.
Double Blind: the researchers nor the participants know know who received the placebo.
Consider the following design: The experimenter randomly assigned participants to one of two treatment conditions. They received a placebo or they received the vaccine.
Question: What design type is this?
Completely Randomized
Matched Pairs
Randomized Blocking
Consider the following design: Participants are assigned to blocks, based on gender. Then, within each block, participants are randomly assigned to treatments. For this design, 250 men get the placebo, 250 men get the vaccine, 250 women get the placebo, and 250 women get the vaccine.
Question: What design type is this?
Completely Randomized
Matched Pairs
Randomized Blocking
Consider the following design: The 1000 participants are grouped into 500 pairs based on gender and age. For example, Pair 1 might be two women, both age 21. Pair 2 might be two women, both age 22, and so on. Then, within each pair, participants are randomly assigned to different treatments.
Question: What design type is this?
Completely Randomized
Matched Pairs
Randomized Blocking
What is the statistical name for this study design?
The method used to form the groups appears in the diagram at the point marked "Question A". This method is...
What is Group 2's treatment (at the point marked "Question B)?
The response variable should be named in the outline at (Question C). The response variable in this study is...
A weakness of this study is...
Why do we conduct statistical studies (both experiments and observation studies)?
To draw conculsions about a population
To pass time
To draw conculsions about a sample
Because we are told to do so
A survey is typical of which general study types
Experimental
Crossover
Observational
Self-controlled
A typical method used in an observational study is
Survey
Randomization
Crossover
Intervention
