QUESTIONS

Question 1

In a study, the data you collect is Favorite candy bar.
This data is:

Qualitative
Quantitative.

Question 2

A political scientist surveys 31 of the current 114 representatives in a state’s legislature.
What is the size of the sample:_______

What is the size of the population: _________?

Question 3

Determine whether the value 75% is a parameter or statistic:
In a weight loss research study a sample of 60 women, 75% lost an average of 10 or more pounds.

Statistic
Parameter

Question 4

A political scientist surveys 37 of the current 80 representatives in a state’s congress.
What is the size of the sample: _______

What is the size of the population: ______?

Question 5

Determine if the quantity described below is a statistic or a parameter:
The proportion of female students that attended BMCC last year.

Parameter
Statistic

Question 6

Determine what the key terms refer to in the following study.
A study was conducted in a local community to analyze which voters would be likely to vote and how on an upcoming bond.

Sample
Data
Variable
Statistic
Parameter
Population
All eligible voters in the country
A group of voters in the community who voted, randomly selected
The attendance of a single voter
The number of eligible voters who actually plan to vote
The number of eligible voters in the study who actually plan to vote.
Voted, didn’t vote, voted.

Question 7

In a study, the sample is chosen by selecting a room of the house, and appraising all items in that room
What is the sampling method?

Simple random
Systematic
Stratified
Cluster
Convenience

Question 8

In a study, the sample is chosen by dividing by population by voting precinct, and sampling everyone in the precints selected
What is the sampling method?

Simple random
Systematic
Stratified
Cluster
Convenience

Question 9

In a study, the sample is chosen by selecting a room of the house, and appraising all items in that room
What is the sampling method?

Simple random
Systematic
Stratified
Cluster
Convenience

Question 10

In a study, the sample is chosen by putting people’s names on a dartboard, and blindly throwing darts
What is the sampling method?

Simple random
Systematic
Stratified
Cluster
Convenience

Question 11

Examine the following survey question for any sources of bias.
Given that 18-year-olds are old enough to vote and to serve in the military, is it fair to set the drinking age at 21?
Is the question biased?

Question 12

Match the sample of students with the correct sampling method.
every ninth student on the class list

Systematic
Convenience
Random
Cluster

Question 13

For a __________ sample, a random sample is taken from each group (or strata).

Question 14

___________ sampling is like stratafied sampling, but the idea is that entire groups are selected as opposed to individuals.

Question 15

Consider the table below describing a data set of folks who have registered to volunteer at a public school.

Name	Year born	Phone number	Number of siblings	Annual income
Jenny	1975	8929223	0	60000
Ted	1984	8675309	3	22500
…	…	…	…	…

Which of the variables are categorical and which are numerical?

Categorical: Name, Phone number. Numerical: Year born, Number of siblings, Annual income.
Categorical: Name. Numerical: Year born, Phone number, Number of siblings, Annual income.
Categorical: Name, Phone number, Number of Siblings. Numerical: Year born, Annual income.
All are categorical. None are numerical.

Question 16

If we collect information on students’ study practices and exam scores and find strong evidence of a positive association between not studying more than two hours and high grades, when can we generalize this finding to the general population?

The students participated in the study after seeing signs about the survey posted around campus. The signs were posted in every campus building, and so all students would see these signs and have the opportunity to participate. Therefore, all students are represented.
A student list for the college was obtained and students were randomly selected from the list to participate.
The student participants come from the student population. Additionally, the students in the study cannot have any misdemeanors, otherwise their answers could not be trusted.
There is at least one student from each year and ethnicity that is represented in the general student body.

Question 17

The school district is considering whether it will no longer allow students to park at school after two recent accidents where students were severely injured. As a first step, they survey parents of high school students by mail, asking them whether or not the parents would object to this policy change. Of 5,799 surveys that go out, 1,209 are returned. Of these 1,209 surveys that were completed, 926 agreed with the policy change and 283 disagreed. Which of the following statements are true?

The survey is unlikely to have any bias because all parents were mailed a survey.
Because many surveys have return rates of between 30% and 50%, it is likely that some of the mailings never reached the parents.
The school district has strong support from parents to move forward with the policy approval.
It is possible that 80% of the parents of high school students disagree with the policy change.

Question 18

As part of a statistics project, Charlie would like to collect data on household size in his city. To do so, he asks each person in his statistics class for the size of their household and reports the results of a simple random sample. However, this is not a simple random sample. Why?

Charlie did not use any randomization; he took a convenience sample.
Charlie did not use a random number table to randomize the order in which he collected the students’ responses, so the sample cannot be random.
In this investigation of household size, each household represents a case. Charlie incorrectly sampled individuals instead of households.
Both (a) and (c) are correct.
Answers (a), (b), and (c) are all correct.

Question 19

Two statistics students at UCLA conducted an energy efficiency survey of graduate student apartments. There were seven university apartment buildings, and the students randomly selected three to be included in the study. In each building, they randomly chose 25 apartments. What is the largest group of students that the study results represent?

All UCLA graduate student apartments.
All UCLA graduate student apartments in this group of seven buildings.
All UCLA graduate student apartments in the three sampled buildings.
All UCLA graduate student apartments that were sampled in the three buildings.

Question 20

A city council has requested a household survey be conducted in a suburban area of their city. The area is broken into many distinct and unique neighborhoods, some including large homes, some with only apartments, and others a diverse mixture of housing structures. Which approach would likely be the least effective?

Simple random sampling
Stratified sampling
Cluster sampling

Question 21

For each stage in the multistage sampling plan of this study, identify the sampling technique that was used:

The research foundation identifies 5 large companies that represent a broad cross-section of patients, chooses 2 of the 5 at random, and gains access to the claims of all the companies’ patients.

Cluster sampling
Simple random sampling
Stratified sampling

Question 22

For each stage in the multistage sampling plan of this study, identify the sampling technique that was used:

The 2 companies’ claims are classified (depending on their origin) according to 7 geographical regions, and within each region, the sampling continues.

Cluster sampling
Simple random sample
Stratified sampling

Question 23

For each stage in the multistage sampling plan of this study, identify the sampling technique that was used:

From each region, 5 representative counties are selected. (In total, all the claims originating from 35 counties are examined.)

Cluster sampling
Simple random sample
Stratified sampling

Question 24

For each stage in the multistage sampling plan of this study, identify the sampling technique that was used:

Within each county (and for each company), claims of 25 male and 25 female patients are randomly selected.

Cluster sampling
Simple random sample
Stratified sampling

Question 25

When conducting a survey, it is important to use a random sample:

To get a significant result
To avoid bias and to get a representative sample
So that we can make causal conclusions
To ensure truthful answers to the survey’s questions.
None of the above.

Question 26

In order to obtain a sample of undergraduate students in the United States, a simple random sample of 10 states is selected. From each of the selected states, 10 colleges or universities are chosen at random. Finally, from each of these 100 colleges or universities, a simple random sample of 20 undergraduate students is selected. Thus, the final sample consists of 2,000 undergraduates.

This is an example of:

Simple random sampling
Stratified sampling
Multistage sampling
Convenience sampling
None of the above.

Question 27

The faculty senate at a large university wanted to know what proportion of the students thought foreign language classes should be required for everyone. The statistics department offered to cooperate in conducting a survey, and a simple random sample of 500 students was selected from all the students enrolled in statistics classes. A survey form was sent by email to these 500 students.

In this case, the population of interest is:
All the students at the university.
All the students enrolled in a statistics class.
The 500 students who got the email survey.
The students who responded to the email survey.
All the students who think that foreign language classes should be required for everyone.
In this case, the sampling frame is:
All the students at the university.
All the students enrolled in a statistics class.
The 500 students who got the email survey.
The students who responded to the email survey.
All the students who think that foreign language classes should be required for everyone.
Which of the following is true about this study?
Since the sample is random, it is representative of the population of interest.
Even though the sample is random, it is not representative of the population of interest.

Question 28

Ross Times, the student newspaper of Ross College, printed a “What do you think?” column feature asking: “Do you think that the college is doing enough to provide student parking?” Anyone could mail in a response or use the paper’s Web site to respond. In all, 126 answers were received.

This is an example of:

A voluntary response sample.
A multistage sample
A simple random sample
A convenience sample.
The placebo effect.

Question 29

Which of the following is an example of stratified sampling?

A sample of 351 people called a radio show to express their opinions about the verdict in the Michael Jackson trial.
In order to assess students’ satisfaction with the food establishment on campus, the first 50 students that come out of the student center were interviewed.
A poll asked a random sample of 1,112 adults whether they believe that the use of marijuana for medical reasons should be legalized.
A health educator wanted to study the sleeping habits of the undergraduate students in her university. For her study, the researcher chose a simple random sample of size 150 from each of the classes (150 freshmen, 150 sophomores, 150 juniors, and 150 seniors), for a total of 600 sampled students.
The human resources department of a large bank wanted to assess the job satisfaction of the bank’s workers. The department chose four of the bank’s branches at random, and used all of the workers in those four branches as the subjects for the study.

Question 30

Identify the type of study design in the following scenario:

An Internet poll asks people to vote for their favorite “American Idol” singer.

Prospective observational study
Retrospective observational study
Survey
Experiment

ANSWERs

Question 1

In a study, the data you collect is Favorite candy bar.
This data is:

Qualitative [CORRECT ANSWER]
Quantitative.

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(Answered) Lesson 1 Homework – Statistics Methods