AnswersCR02201A Probability and StatisticsPopulations and Sampling

Other Sampling Methods Answers

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Which of the following is an advantage of using systematic random sampling?

A
Systematic random sampling reduces sampling variability.
B
Systematic random sampling does not require a finite population size.
C
Systematic random sampling could inadvertently miss patterns in the population.
D
Systematic random sampling uses clusters, which are close in proximity, making data collection easier.
2
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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.
3

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.
4

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.
5

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.
6

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.
7

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.
8

A sandwich shop owner wants to survey customers about new menu options. To get the sample, the owner surveys the 4th customer of the day (with 4 being a randomly chosen value), then surveys every 10th customer after that. Which sampling method was used?

A
cluster sampling
B
simple random sampling
C
stratified random sampling
D
systematic random sampling
9

A band director is trying to decide what music to play for the halftime show. To get a sample, the director divides the band into groups based on their grade (freshmen, sophomores, juniors, and seniors). Then she randomly chooses a group and surveys every member of the chosen group. Which sampling method was used?

A
cluster sampling
B
simple random sampling
C
stratified random sampling
D
systematic random sampling
10

Education researchers are interested in the workload expectations of freshmen at a local university. Since all of the freshmen are randomly placed into freshman seminar classes, the researchers randomly select 3 freshman seminar classes and survey all of the students within those classes. Which sampling method was used?

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

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