Sampling
MATH 225N Week 1 Sampling Questions and Answers
Questions
1. Assume that 80 houses are present in the form of a grid consisting of 10 columns
and 8 rows. If a loud speaker is placed just before the first
...
Sampling
MATH 225N Week 1 Sampling Questions and Answers
Questions
1. Assume that 80 houses are present in the form of a grid consisting of 10 columns
and 8 rows. If a loud speaker is placed just before the first row, which sampling method works
the best to select a sample of houses if we want to get an estimate of the average loudness (measured in decibels) near all the 80 houses?
Select the correct answer below:
Simple Random Sampling
Stratified Sampling using the rows of the houses as strata Cluster Sampling using the rows of the houses as clusters Convenience Sampling
2. Angela is studying the mean blood pressure of all students attending her college. She collects data
from the 38 students in her statistics class. Which type of sampling is used?
Select the correct answer below:
Cluster sampling Stratified sampling
Systematic sampling Convenience sampling
3. A town planner is interested in getting some demographic data about the households in the city. The city has four wards with the following numbers of households: ward A has 2,107, ward B has 903, ward C has 1,505, and ward D has 1,499. The budget for the project allows the planner to
survey 100 households. She plans to use a stratified sampling method. What number of households should be chosen from ward B? Enter a whole number.
903/2107+903+1505+1499 = 903/6014 x 100 = 15
4. Donald is studying the eating habits of all students attending his school. He samples the population by dividing the students into groups by grade level and randomly selecting a proportionate number of students from each group. He then collects data from the sample. Which type of sampling is used?
Select the correct answer below:
Systematic sampling
Convenience sampling Stratified sampling
Cluster sampling
5. An executive for a large national restaurant chain with multiple locations in each
of 513 counties wants to personally sample the cleanliness of the chain's restaurants throughout the country by visiting restaurants. The executive wants a good-quality sample but wants to minimize travel time and expenses. Which of the following sampling methods would be most appropriate?
Select the correct answer below:
Obtain a convenience sample by visiting the 100 restaurants that are closest to the executive's office.
Obtain a systematic sample by selecting every 20th restaurant from a list that orders all restaurants by date of opening.
Obtain a stratified sample by visiting 1 randomly selected restaurant in every county.
Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.
6. When considering different sampling methods, stratified sampling includes the steps: .
Select the correct answer below:
divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected
identify individuals of the population that are easily accessible; obtain data from these individuals
use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
7. When is using a simple random sample appropriate?
Select the correct answer below:
A simple random sample should always be used if possible.
A simple random sample should be used if the population is not well understood or there are no groups within the population that need to be analyzed individually.
A simple random sample should be used when the population has well-defined groups that are relatively homogeneous. This will make sure each group is represented proportionally.
8. Ruby is studying the mean waist size of all students attending her college. She collects data from the 25 students in her statistics class. Which type of sampling is used?
Select the correct answer below:
Systematic sampling
Stratified sampling Convenience sampling Cluster sampling
9. A school district's superintendent wants to administer a test of life skills to a sample of students. The superintendent has ample time and resources to conduct the study, as well as access to detailed information about all students' addresses, courses, grades, and attendance. Which of the following would be the worst sampling method for the superintendent to use?
Select the correct answer below:
Cluster sampling
Convenience sampling Stratified sampling Systematic sampling
10. In reference to different sampling methods, 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.
Select the correct answer below:
True False
11. A television station plans to send a crew to a polling center on an election day. Because they do
not have time to interview each individual voter, they decide to count voters leaving the polling location and ask every 20th voter for an interview. What type of sampling is this?
Select the correct answer below:
Simple random sampling
Cluster sampling Stratified Sampling
Systematic sampling Convenience sampling
12. William is studying the hair colors of all students attending his college. He collects data from the 25 students in his statistics class. Which type of sampling is used?
Select the correct answer below:
Convenience sampling
Stratified sampling Cluster sampling Systematic sampling
13. A manufacturer has three tool centers that each make about 1000 tools every day. In order to implement better quality-control procedures, the manager wants to start sampling the tools
made each day to be able to identify issues as quickly as possible. Which sampling method would be most appropriate?
Select the correct answer below:
At the end of each day, select a random sample of 60 tools from all the tools produced that day.
At the end of each day, select random samples of 20 tools from the tools produced by each tool center that day.
Select the first 20 tools produced by each tool center on each day. Select every 50th tool produced by each tool center during the day. Select every 150th tool produced by any tool center during the day.
14. To study the eating habits of all athletes in his school, Christopher obtains a list of the athletes and collects data from every 10th person on the list. Which type of sampling is used?
Select the correct answer below:
Cluster sampling
Stratified sampling Convenience sampling Systematic sampling
15. A grocer receives cartons of 12 eggs in boxes of 100 cartons. In a particular month, the
grocer receives 4 shipments of eggs with 20 boxes in each shipment. The grocer wants to estimate the proportion of cartons he receives this month that include at least one broken egg. Which of the following sampling methods would be most appropriate?
Select the correct answer below:
Obtain a stratified sample by examining 100 randomly selected cartons from each of the 4 shipments. Obtain a cluster sample by randomly selecting 3 boxes and examining every carton in those 3 boxes.
Obtain a convenience sample by examining every carton on the grocery store's shelves one day. Obtain a systematic sample by examining the top carton in the top right corner of each box.
16. To study the mean head size of all athletes in his school, Kenneth obtains a list of the athletes and collects data from every 6th person on the list. Which type of sampling is used?
Select the correct answer below:
Systematic sampling Convenience sampling
Stratified sampling Cluster sampling
17. A professor is interested in the average length of books in her library. She has divided her books into a few different categories: 235 books on mathematics, 290 books on sports, and 166 books on
interior design. Rather than examining all the books, she plans to use a stratified sample of 50 books. How many of the sports books should she choose? Enter a whole number.
Total number of books = 235 + 290 + 166 = 691 Proportion of sample to the population = 50/691
The proportion shall be maintained in all strata of the sample. So, the number of samples to be taken from sports books
= Number of sports books x 50/691
= 290 x 50/691
= 21
18. Tina is studying the shoe sizes of all students attending her university. She samples the student population by selecting every 18th student from an alphabetical list of the students. Which type of sampling is used?
Select the correct answer below:
Stratified sampling
Systematic sampling Cluster sampling Convenience sampling
19. The management of a large airline wants to estimate the average time after takeoff taken before the crew begins serving snacks and beverages on their flights. Assuming that management has
easy access to all of the information that would be required to select flights by each proposed method, which of the following would be reasonable methods of stratified sampling? Select all that apply.
Select all that apply:
For each day of the week, randomly select 5% of all flights that depart on that day of the week.
Divide all flights into the following 4 groups on the basis of scheduled departure
time: before 9:00 am, 9:00 am to 1:00 pm, 1:00 pm to 5:00 pm, and after 5:00 pm. Randomly select 5% of the flights in each group.
For each crew member the airline employs, randomly select 5 flights that the crew member works.
Divide the airports from which the airline's flights depart into 4 regions: Northeast, Northwest, Southwest, and Southeast. Randomly select 5% of all flights departing from airports in each region.
20. When considering different sampling methods, systematic sampling includes the steps:
.
Select the correct answer below:
list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected
use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
identify individuals of the population that are easily accessible; obtain data from these individuals
divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
21. A television station wants to report on a local election. The station has three crews that can be used during the day for collecting data. What sampling method would be appropriate?
Select the correct answer below:
The crews should go to three of the station's offices in the city and ask people to call the station to report how they voted.
The station should randomly select three polling centers and send one crew to each. The crews should interview people as they leave the polls.
The station should randomly select a set of voters from the city at the beginning of the day and ask them each how they voted as they leave their polling centers.
The crews should visit the polling centers in a sequence, interviewing the next 10 voters to leave each center.
22. In reference to different sampling methods, systematic sampling includes the steps: list the
members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly
selected.
Select the correct answer below:
True False
23. A town planner is interested in getting some demographic data about the households in the city. The city has ten wards that vary in size. Which sampling method is most appropriate?
Select the correct answer below:
The planner should randomly select households from the population.
The planner should select one or two wards and choose all the households in those wards.
The planner should randomly select households from each ward so the proportions of the wards in the sample are about the same as in the population.
The planner should get a list of all the households alphabetically by owner, randomly choose a starting point, and then choose every nth household in the list.
24. When considering different sampling methods, cluster sampling includes the steps: .
Select the correct answer below:
use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected
divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
identify individuals of the population that are easily accessible; obtain data from these individuals
25. A quality manager at a manufacturing plant needs to get a sample of widgets for monitoring the manufacturing processes. He plans to choose one out of every N widgets produced. The plant makes about 5100 widgets per day, and the quality team has enough time to examine about 60 widgets each day. What value should the manager use for N? Enter a whole number. 5100/60 = 85
26. Cluster sampling includes the steps: divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group.
Select the correct answer below:
True False
27. A quality-assurance worker wants to systematically sample 120 glass jars each day from a conveyor belt in a factory that puts out 3,600 jars each day. If the worker will select every kth jar, what is the best value of k for the worker to use? Enter a whole number. 3600/120 = 30
28. In order to study the mean pulse rate of people in his town, Jerry samples the population by dividing the residents by regions and randomly selecting 12 of the regions. He collects data from all residents in the selected regions. Which type of sampling is used?
Select the correct answer below:
Cluster sampling
]Convenience sampling Stratified sampling Systematic sampling
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