Unit 7 Day 3 Sample Design Review, Random Numbers & Bias

Last updated over 4 years ago
20 questions
4

A tree farmer hires a botanist to evaluate the blight that seems to be affecting his trees.
The trees are planted in horizontal rows on a hill and the blight seems to be a bigger problem near the bottom of the hill.
Since the trees need to be destroyed to examine them, the botanist needs to conduct a sample.
Match the sampling strategy for each idea below with its corresponding name.

Draggable itemCorresponding Item

Stratified
Check the ten trees closest to the parking lot where the botanist parks her car.
Cluster
Randomly select three trees from each horizontal row.
Systematic
Randomly pick a number from 1 to 30. Start at the tree in that position in the 1st row, then go to every 30th tree after that.
Convenience
Lay out a grid on a map of the hill. Randomly select eight squares from the grid & check all the trees in those squares.
Simple Random Sample
4

Administrators at a large hospital are concerned about the possibility of drug abuse by the employees.
They decide to check on the extent of the problem by having a random sample of the employees undergo a drug test.
Match the sampling strategy for each idea below with its corresponding name.

Draggable itemCorresponding Item
Each employee has a 4-digit ID number. Randomly choose 40 numbers.
Stratified
There are four employee classifications: doctors, medical staff (nurses, technicians, etc), office staff, and support staff. Randomly select ten people from each category.
Simple Random Sample (SRS)
Randomly select 5 departments and test all the people who work in those departments- doctors, nurses, technicians, clerks, custodians, etc.
Systematic
At the start of each shift, choose every tenth person who arrives for work.
Cluster

Convenience
Use the following information for #3-6.

Management at a retail store is concerned about the possibility of drug abuse by the employees.
They decide to check on the extent of the problem by having a random sample of the employees undergo a drug test.
Several plans for choosing the sample are proposed.
Name the sampling strategy in each plan below.
Choose from: Stratified Cluster Simple Random Sample Systematic Convenience
4

Randomly select an employee classification and test all the people who work in that classification (supervisors, full-time clerks, part-time clerks, and maintenance staff.)

4

Choose the fourth person that arrives to work for each shift.

4

There are four employee classifications, randomly select ten people from each category.

4

Each employee has a three-digit identification number. Randomly choose 40 numbers.

4

At the high school level, we have EOC exams rather than grade level exams. You wish to know how AHHS teachers feel about using EOC exams to determine level of mastery.
Listed below are the names of the AHHS Math and English teachers.
Use the random numbers provided to select 8 of them to be in your sample.
Explain your method, demonstrate your method, list the teachers that are chosen.

I will grade this problem myself.

4

From the list of people provided in the 'show your work' section, you want to create an SRS of six people to survey.
Using random digits provided by your calculator, select a Simple Random Sample, list their names.

I will grade this problem.

4

A high school principal decides to conduct a survey of the senior class by selecting one government class and interviewing each student in that class.

What types of bias could be present in this situation?
Choose 2.

4

A high school principal decides to conduct a survey of the senior class by selecting one government class and interviewing each student in that class.

What is the population in this situation?

4

Horizon Wireless is thinking of entering the satellite TV business. Their planning department decides to survey their existing cell phone customers regarding their interest in satellite TV.

What types of bias could be present in this situation?
Choose 2.

4

The Houston Police Department is concerned about it public image so they develop a survey to be administered by uniformed police officers to a randomly chosen sample of households.

What type of bias could be present in this situation?
Choose 1.

4

Prior to graduation each member of the senior class is required to participate in a survey about their school experiences. In order to walk at graduation, they need to complete the survey online.

What types of bias could be present in this situation?
Choose 2.

4

A car dealer wants to estimate the mean number of car per household in a medium sized city. He obtains detailed aerial photographs of the city and randomly selects 250 locations on the map. The house nearest each selected location is identified and an employee is sent to that home to ask the owner how many cars they own. The employee skips the houses at which no one is at home.

What types of bias could be present in this situation?

4

A car dealer wants to estimate the mean number of cars per household in a medium sized city. He obtains detailed aerial photographs of the city and randomly selects 250 locations on the map. The house nearest each selected location is identified and an employee is sent to that home to ask the owner how many cars they own. The employee skips the houses at which no one is at home.

What is the sample in this situation? (not the sampling method)

4

A county commissioner wants to survey people in her district to determine their opinions on a particular law up for adoption. She decides to randomly select blocks in her district and then survey all who live on those blocks. What sampling design was used?

4

A local restaurant manager wants to survey customers about the service they receive. Each night the manager randomly chooses a number between 1 & 10. He then gives a survey to that customer, and to every 10th customer after them, to fill it out before they leave.
What sampling design was used?

4

For their class project, a group of Statistics students decide to survey the student body to assess opinions about the proposed new student center. Their sample of 200 contained randomly chosen 50 freshmen, 50 sophomores, 50 juniors and 50 seniors.
What sampling design was used?

4

The Educational Testing Service (ETS) needed a sample of colleges. ETS first divided all colleges into groups of similar types (small public, small private, etc.) Then they randomly selected 3 colleges from each group.

What sampling design was used?

7

Identify which questions are statistical and which are nonstatistical by dragging them into the correct category.
Remember: a statistical question gives an anwer that has variability.

  • Where are students in this class going to college next year?
  • How many siblings do the students in this class have?
  • How many points did the AHHS basketball team score on Friday?
  • What are the heights of the teachers at AHHS?
  • How many hours do seniors work each week?
  • How old is the oldest AHHS school building?
  • Who won the 2016 NBA championship?
  • Statistical Question
  • Non Statistical Question