Probability & Statistics - Identifying Sampling Strategies
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Last updated almost 2 years ago
8 questions
Note from the author:
This activity provides students with the description of a sampling strategy and asks them to identify it by name.
For each of the following scenarios, identify the probability sampling strategy that was used.
Simple Random Sample (SRS), Stratified Sample, Cluster Sample, Systematic Sample
Required
1
A high school’s student newspaper plans to survey local businesses about the importance of students as customers. From an alphabetical list of all local businesses, the newspaper staff chooses 150 businesses at random and mails them a survey.
A high school’s student newspaper plans to survey local businesses about the importance of students as customers. From an alphabetical list of all local businesses, the newspaper staff chooses 150 businesses at random and mails them a survey.
Required
1
On the west side of the Rocky Mountain National Park, many mature pine trees are dying due to infestation by pine beetles. Scientists divide the forest into 400 sections of equal area, and randomly choose 40 sections. They then go and check all the trees in those sections to see if they are infested.
On the west side of the Rocky Mountain National Park, many mature pine trees are dying due to infestation by pine beetles. Scientists divide the forest into 400 sections of equal area, and randomly choose 40 sections. They then go and check all the trees in those sections to see if they are infested.
Required
1
Suppose 1000 iPhones are produced at a factory today. Management would like to ensure that the phones’ display screens meet their quality standards before shipping them to retail stores. Since it takes about 10 minutes to inspect one phone’s display screen, managers decide to inspect at sample of 20 phones from today’s production. They take every 50th phone off the line starting with the 12th.
Suppose 1000 iPhones are produced at a factory today. Management would like to ensure that the phones’ display screens meet their quality standards before shipping them to retail stores. Since it takes about 10 minutes to inspect one phone’s display screen, managers decide to inspect at sample of 20 phones from today’s production. They take every 50th phone off the line starting with the 12th.
Required
1
A resort has 30 floors, and 40 rooms on each floor. The rooms on one side of the hotel face the ocean, and on the other side they face a golf course. The hotel manager chooses a random sample of 60 rooms on the ocean side, and 60 rooms on the golf course side to ask about their overall satisfaction with their stay.
A resort has 30 floors, and 40 rooms on each floor. The rooms on one side of the hotel face the ocean, and on the other side they face a golf course. The hotel manager chooses a random sample of 60 rooms on the ocean side, and 60 rooms on the golf course side to ask about their overall satisfaction with their stay.
Required
1
Laying fiber-optic cable is expensive. Cable companies want to make sure that if they extend their lines out to less dense suburban or rural areas, there will be sufficient demand and the work will be cost-effective. They decide to conduct a survey to determine the proportion of households in a rural subdivision that would buy the service. They select a random sample of 5 neighborhood blocks in the subdivision and survey each family that lives in each of those blocks.
Laying fiber-optic cable is expensive. Cable companies want to make sure that if they extend their lines out to less dense suburban or rural areas, there will be sufficient demand and the work will be cost-effective. They decide to conduct a survey to determine the proportion of households in a rural subdivision that would buy the service. They select a random sample of 5 neighborhood blocks in the subdivision and survey each family that lives in each of those blocks.
Required
1
A researcher wants to estimate the average distance that students at a large community college live from campus. To find out, she takes the full list of all students enrolled at the college and randomly selects 200 students from the list.
A researcher wants to estimate the average distance that students at a large community college live from campus. To find out, she takes the full list of all students enrolled at the college and randomly selects 200 students from the list.
Required
1
Florida has a large number of institutions for higher learning. The state would like to learn about the students attending these schools. There are 14 state colleges, 26 community colleges, and 32 private colleges. State officials select 2 state colleges, 4 community colleges, and 5 private colleges at random. Then they took a random sample of students from each of the selected schools.
Florida has a large number of institutions for higher learning. The state would like to learn about the students attending these schools. There are 14 state colleges, 26 community colleges, and 32 private colleges. State officials select 2 state colleges, 4 community colleges, and 5 private colleges at random. Then they took a random sample of students from each of the selected schools.
Required
1
Administrators at North want to find out how students feel about the new colored pass system. They randomly select 20 students from each graduating class and send them an anonymous survey.
Administrators at North want to find out how students feel about the new colored pass system. They randomly select 20 students from each graduating class and send them an anonymous survey.