Podcast
Questions and Answers
In a study examining the average height of students in a university, what constitutes the population?
In a study examining the average height of students in a university, what constitutes the population?
- All students enrolled in the university. (correct)
- Students in a specific major at the university.
- The height of the tallest student in the university.
- The average height calculated from a sample of students.
A researcher wants to study the political opinions of registered voters in a city. Due to resource constraints, they survey a subset of these voters. What term best describes this subset?
A researcher wants to study the political opinions of registered voters in a city. Due to resource constraints, they survey a subset of these voters. What term best describes this subset?
- Parameter
- Sample (correct)
- Population
- Statistic
A university reports that 70% of all its undergraduate students are satisfied with the campus dining options. What statistical measure does this represent?
A university reports that 70% of all its undergraduate students are satisfied with the campus dining options. What statistical measure does this represent?
- Sample
- Cluster
- Statistic
- Parameter (correct)
In a survey of 500 randomly selected residents of a town, it was found that 60% support a new transportation initiative. What does this percentage represent in the context of the study?
In a survey of 500 randomly selected residents of a town, it was found that 60% support a new transportation initiative. What does this percentage represent in the context of the study?
A researcher aims to gather a random sample from a population where every member has an equal chance of selection. Which sampling method should they employ?
A researcher aims to gather a random sample from a population where every member has an equal chance of selection. Which sampling method should they employ?
A school divides its student population into grade levels (e.g., 9th, 10th, 11th, and 12th) and then randomly selects students from each grade to participate in a survey. What type of sampling method is being used?
A school divides its student population into grade levels (e.g., 9th, 10th, 11th, and 12th) and then randomly selects students from each grade to participate in a survey. What type of sampling method is being used?
A researcher wants to survey residents in a large city. They divide the city into neighborhoods and randomly select a few neighborhoods to survey all residents within those selected neighborhoods. Which sampling technique is being used?
A researcher wants to survey residents in a large city. They divide the city into neighborhoods and randomly select a few neighborhoods to survey all residents within those selected neighborhoods. Which sampling technique is being used?
To gather data on customer satisfaction, a company decides to survey every 20th customer on their list. What sampling method are they employing?
To gather data on customer satisfaction, a company decides to survey every 20th customer on their list. What sampling method are they employing?
An investigator first uses cluster sampling to select several schools within a district and then uses simple random sampling to choose students from each selected school. What type of sampling is this?
An investigator first uses cluster sampling to select several schools within a district and then uses simple random sampling to choose students from each selected school. What type of sampling is this?
A quality control manager tests 50 light bulbs from a batch of 5,000. The average lifespan of the tested bulbs is found to be 1,500 hours. Which of the following correctly identifies the parameter and statistic in this scenario?
A quality control manager tests 50 light bulbs from a batch of 5,000. The average lifespan of the tested bulbs is found to be 1,500 hours. Which of the following correctly identifies the parameter and statistic in this scenario?
A market research company wants to determine the most popular brand of coffee among adults in a city. They obtain a list of all households, randomly select 100 addresses, and survey every adult living at those addresses. What type of sampling is used?
A market research company wants to determine the most popular brand of coffee among adults in a city. They obtain a list of all households, randomly select 100 addresses, and survey every adult living at those addresses. What type of sampling is used?
To estimate the average income of alumni ten years after graduation, a university randomly selects 200 alumni from each of its five colleges (Engineering, Arts & Sciences, Business, Education, and Medicine) and surveys them. What sampling technique is used?
To estimate the average income of alumni ten years after graduation, a university randomly selects 200 alumni from each of its five colleges (Engineering, Arts & Sciences, Business, Education, and Medicine) and surveys them. What sampling technique is used?
A data analyst needs to select a sample of 75 employees from a company of 750. They randomly pick a starting number between 1 and 10, say 3, and then select every 10th employee from the numbered employee list (3, 13, 23, etc.). Which sampling technique is used?
A data analyst needs to select a sample of 75 employees from a company of 750. They randomly pick a starting number between 1 and 10, say 3, and then select every 10th employee from the numbered employee list (3, 13, 23, etc.). Which sampling technique is used?
An environmental agency wants to assess air quality in a state. They first divide the state into counties, randomly select a few counties, and then randomly select several monitoring stations within each of the selected counties. What sampling method did they use?
An environmental agency wants to assess air quality in a state. They first divide the state into counties, randomly select a few counties, and then randomly select several monitoring stations within each of the selected counties. What sampling method did they use?
A researcher is studying the effectiveness of a new teaching method in a school district. The district has 20 schools. The researcher randomly selects 5 schools and then includes all the students in those 5 schools in the study. What type of sampling is used?
A researcher is studying the effectiveness of a new teaching method in a school district. The district has 20 schools. The researcher randomly selects 5 schools and then includes all the students in those 5 schools in the study. What type of sampling is used?
A clothing company wants to gauge customer satisfaction with its new line of products. It randomly selects 250 customers from its list of online purchasers and sends them a survey. 80% of those surveyed report being ‘satisfied’ or ‘very satisfied.’ In this scenario, what does the 80% represent?
A clothing company wants to gauge customer satisfaction with its new line of products. It randomly selects 250 customers from its list of online purchasers and sends them a survey. 80% of those surveyed report being ‘satisfied’ or ‘very satisfied.’ In this scenario, what does the 80% represent?
A university announces that the average SAT score of all incoming freshmen is 1350. This value is based on the records of every freshman enrolled in the university. What does this value represent?
A university announces that the average SAT score of all incoming freshmen is 1350. This value is based on the records of every freshman enrolled in the university. What does this value represent?
A pharmaceutical company is testing a new drug to lower blood pressure. They select 10 hospitals across the country at random and then recruit 50 patients with high blood pressure at each selected hospital, and enroll them in a sampling study. What is this an example of?
A pharmaceutical company is testing a new drug to lower blood pressure. They select 10 hospitals across the country at random and then recruit 50 patients with high blood pressure at each selected hospital, and enroll them in a sampling study. What is this an example of?
A small business with 50 employees wants to get feedback on proposed changes to its health insurance plan. Instead of surveying all employees, they randomly select 10 employees from each of the five departments (Sales, Marketing, HR, IT, and Customer Service). What is this?
A small business with 50 employees wants to get feedback on proposed changes to its health insurance plan. Instead of surveying all employees, they randomly select 10 employees from each of the five departments (Sales, Marketing, HR, IT, and Customer Service). What is this?
A popular retail chain has thousands of customers and is doing work to better predict demand and manage its supply chain. The chain randomly picks a customer on their list to start, and then contacts every 50th customer after that for a survey, until the chain has a sufficient sample set. What is this an example of?
A popular retail chain has thousands of customers and is doing work to better predict demand and manage its supply chain. The chain randomly picks a customer on their list to start, and then contacts every 50th customer after that for a survey, until the chain has a sufficient sample set. What is this an example of?
A researcher wants to conduct a study on the opinions of college students regarding the effectiveness of online learning. The researcher first divides the students into different academic majors (e.g., Engineering, Business, Arts) and then randomly selects students from each major to participate in a survey. What type of sampling is being used?
A researcher wants to conduct a study on the opinions of college students regarding the effectiveness of online learning. The researcher first divides the students into different academic majors (e.g., Engineering, Business, Arts) and then randomly selects students from each major to participate in a survey. What type of sampling is being used?
An analyst at a large company wants to investigate employee satisfaction across different departments. The company has numerous departments, and each department has multiple teams. The analyst randomly selects a few departments, and within each selected department, the analyst surveys every team member. What is this sampling design?
An analyst at a large company wants to investigate employee satisfaction across different departments. The company has numerous departments, and each department has multiple teams. The analyst randomly selects a few departments, and within each selected department, the analyst surveys every team member. What is this sampling design?
A research firm is hired to determine the TV viewing preferences of households in a large metropolitan area. The firm randomly selects 25 city blocks and surveys every household within those blocks to determine which TV networks are most often watched. What strategy are they employing?
A research firm is hired to determine the TV viewing preferences of households in a large metropolitan area. The firm randomly selects 25 city blocks and surveys every household within those blocks to determine which TV networks are most often watched. What strategy are they employing?
A school principal wants to assess student opinions on a new school policy but lacks the resources to survey every student. Instead, the principal decides to randomly select 10 students from each grade level (9th, 10th, 11th, and 12th grade) to gather their feedback. What sampling method is the principal using?
A school principal wants to assess student opinions on a new school policy but lacks the resources to survey every student. Instead, the principal decides to randomly select 10 students from each grade level (9th, 10th, 11th, and 12th grade) to gather their feedback. What sampling method is the principal using?
A researcher at a university opts to contact every 35th student on an alphabetized list of all enrolled students to invite them to participate in a new initiative. What sampling method is the research employing?
A researcher at a university opts to contact every 35th student on an alphabetized list of all enrolled students to invite them to participate in a new initiative. What sampling method is the research employing?
Flashcards
What is a population?
What is a population?
The entire group of individuals or items that are of interest in a study.
What is a sample?
What is a sample?
A smaller, manageable subset of the population used for drawing inferences about the entire group.
What is a parameter?
What is a parameter?
A value that describes a characteristic of the entire population.
What is a statistic?
What is a statistic?
Signup and view all the flashcards
What is simple random sampling?
What is simple random sampling?
Signup and view all the flashcards
What is stratified random sampling?
What is stratified random sampling?
Signup and view all the flashcards
What is cluster sampling?
What is cluster sampling?
Signup and view all the flashcards
What is 1-in- Systematic Random Sampling?
What is 1-in- Systematic Random Sampling?
Signup and view all the flashcards
What is multistage Sampling?
What is multistage Sampling?
Signup and view all the flashcards
Study Notes
- Parameter, Statistic, and Sampling Plan
Population
- It forms the group where members have something in common
- It is the total set of observations that can be made
- Examples of population are senior citizens in Metro Manila, and Senior High School program students
Sample
- It is a smaller group or subset of the population
- Examples of samples are a sample of 500 senior citizens from Metro Manila, and a sample of 1000 grade 11 students from Metro Manila
Parameter
- It describes an entire population
- Example: 45% of senior citizens in Metro Manila are male
Statistic
- It describes only the sample
- Example: Twenty-five out of 100 randomly chosen grade 11 students belong to the the STEM strand
Simple Random Sampling
- It is the easiest way to get a random sample
- Each population member has an equal chance of being selected
- To choose the sample, arrange the population elements and use a computer or scientific calculator to generate random numbers
- The sample consists of elements corresponding uniquely to the random numbers
Stratified Random Sampling
- A simple random sample is selected from each subpopulation
- Each subpopulation is called a stratum
- If studying senior citizens, the population may need to be subdivided into subgroups like 60-69 years old, 70-79 years old, etc
- The sample will be chosen from each subgroups.
Cluster Sampling
- The population must be divided into separate groups called clusters
- A simple random sample of clusters from the available clusters in the population is selected
- If the population is composed of all the senior citizens from Metro Manila, the clusters could be municipalities and cities in Metro Manila
- Data is then gathered from selected clusters, like 5 cities.
1-in- Systematic Random Sampling
- It involves the random selection of one of the first elements in an ordered population
- A systematic selection of every nth element thereafter is done
- The value of n is calculated by dividing the population size by the sample size
Multistage Sampling
- Two or more probability techniques are combined
- It can be described as sampling within the sample
- If the population is composed of all the senior citizens from Metro Manila, clustered sampling can be used where the clusters are municipalities and cities in Metro Manila
- From the selected clusters, stratified sampling can be used to divide into different age groups
Example problem and solution
- Problem: A quality manager wants to know the average life of the battery they manufacture
- Solution: The manager asks employees to obtain a 100 random battery sample and test them, the average battery life of the sample is 1100 hours
- Solution: The statistic; describes the sample, is 1100 hours
- Solution: The parameter; the average life of the batteries they manufacture
More example problems and solutions
- Problem: A university marketing department is doing a satisfaction survey by alphabetizing student names
- Problem: They pick a random starting point and then every 15th student gets the survey
- Solution: Since this survey chooses every nth element as member of the sample, it employs a 1-in- systematic random sampling
Individual Practice Problems
- Ms. Cruz wants to know the average weekly allowance of grade 10 students
- She asked 50 students how much their weekly allowance is and found the average weekly allowance of these 50 students
- The school canteen is doing a food preference survey by printing 100 survey forms
- They randomly select 10 students from each grade level from grade 1 to grade 10
More Practice Problems
- A statistical company was commissioned to survey which TV network is most preferred by viewers in Metro Manila by age group
- What type of sampling method can be used?
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Understand population vs. sample and parameter vs. statistic. Learn simple random sampling: equal chance selection using random numbers. Explore key concepts in data collection and analysis.
