AnswersVA-Probability and StatisticsOther Sampling Methods

Other Sampling Methods Answers

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1
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Which of the following is an advantage of using stratified random sampling?

A
Stratified random sampling saves time and money.
B
Stratified random sampling requires knowledge of the entire population.
C
Stratified random sampling can be used even when there is not a list of the population.
D
Stratified random sampling provides more precise estimates than simple random sampling.
2
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Which of the following statements is true about cluster sampling?

A
Once clusters are selected, participants are randomly selected from those clusters.
B
Cluster selection does not have to be random, as long as each chosen cluster is randomly sampled.
C
Cluster sampling uses clusters, which are homogenous groups in regard to characteristics being studied.
D
Participants within clusters usually live within close proximity, which saves time and money for data collection.
3

Executive leadership wants to survey employees at a grocery store that is open 24 hours a day. They are interested in getting surveys from people from every job title (cashier, stocker, manager, etc.) Which of the following uses systematic random sampling?

A
Survey 3 randomly chosen cashiers, then repeat that process with the stockers, managers, etc.
B
Randomly select 1 of the 3 shifts (morning, afternoon, or night), and survey all the employees who work that shift.
C
List all of the employees by their employee ID number. Have the computer randomly select 25 of the numbers, and survey those employees.
D
List all of the employees by their employee ID number. Survey the 11th person on the list (with the number 11 being randomly chosen), then survey every 10th person on the list after that.
4

Race organizers want to survey the participating runners on the difficulty of the running course. Which of the following most effectively uses cluster sampling?

A
Separate the runners into men and women, then randomly select 20 men and 20 women.
B
Organize the runners into groups (elite runners, fast runners, moderate runners, and walkers). Randomly select a group, and survey all the runners in that group.
C
Put the same number of marbles as runners into a bag, with 20 of the marbles being red. Have each runner select a marble from a bag at the finish line. If they choose a red marble, they take the survey.
D
Place the runners into groups based on the seconds part of their finishing time (0:00–0:05, 0:06–0:10, etc.). Randomly select 2 of these groups, and survey every runner within the chosen groups.
5

A statistics teacher has 4 periods of introductory statistics. She wants to get students’ opinions on a new homework policy. To get a sample, the teacher lists every student’s ID number and uses a computer to randomly select 20 of the IDs. Which sampling method was used?

A
cluster sampling
B
simple random sampling
C
stratified random sampling
D
systematic random sampling
6

A paper company wants to survey its employees about a new policy on sales commissions. Which of the following would result in a stratified random sample?

A
Give a survey to everyone who was eating lunch in the break room that day.
B
Randomly select 2 people from each department (sales, customer service, accounting, etc.)
C
Put everyone’s name on a slip of paper and randomly pull out 10 names.
D
Using an alphabetized list of employees, randomly select a starting point and survey every 4th person after that.
7

A band director is trying to decide what music to play for the halftime show. She surveys the marching band students to get their opinions about which music they would prefer. Which of the following sampling techniques would provide a stratified random sample that would accurately represent the students’ opinions?

A
Have a computer randomly sort the band members, then select the first 30.
B
Randomly select 2 students from each type of instrument (trumpet, saxophone, clarinet, etc.).
C
Randomly pick a letter of the alphabet and survey every student whose last name begins with that letter.
D
Randomly pick a year of students (freshman, sophomore, junior, or senior) and survey every student from the selected group.
8

A teacher is interested in students’ opinions about an upcoming school dance. Which of the following techniques uses systematic random sampling?

A
Survey the first 10 students who arrive.
B
Survey every 10th classroom as the teacher walks down the hallway.
C
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every 12th student after that.
D
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every other boy and every other girl after that.
9

A teacher has 36 students who were randomly assigned to 6 rows of 6 desks. She wants to survey the students about the homework policy. Which of the following uses cluster sampling?

A
Roll a fair number cube. Use the number rolled to pick a row of students. Survey every student in that row.
B
List the students according to their grade in the class. Survey one A student, one B student, etc.
C
For each row, flip a coin. If it is heads, survey all the boys in that row. If it is tails, survey all the girls in that row.
D
Select a student by rolling a fair number cube twice. The first roll gives the row number, and the second roll gives the seat number. Then repeat.
10

A local vet wants to survey his clients about their satisfaction regarding the care their pet received. He groups all of the clients by the type of pet they have (dog, cat, bird, exotic, or multiple), then randomly selects 5 people from each group. Which sampling method was used?

A
cluster sampling
B
simple random sampling
C
stratified random sampling
D
systematic random sampling

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