Podcast
Questions and Answers
What is a population?
What is a population?
- A subset of a larger group.
- A group where members have something in common. (correct)
- A randomly selected group.
- A small group of individuals.
What is a sample?
What is a sample?
- The entire population
- A parameter
- A smaller group of the population (correct)
- A statistic
What does a parameter describe?
What does a parameter describe?
- The size of the sample.
- The method of sampling.
- An entire population. (correct)
- Only the sample.
What does a statistic describe?
What does a statistic describe?
What is simple random sampling?
What is simple random sampling?
What is involved in stratified random sampling?
What is involved in stratified random sampling?
What are the separate groups called in cluster sampling?
What are the separate groups called in cluster sampling?
What is the first step in systematic random sampling?
What is the first step in systematic random sampling?
What is multistage sampling?
What is multistage sampling?
In the battery example, what is the statistic?
In the battery example, what is the statistic?
In the battery example, what is the parameter?
In the battery example, what is the parameter?
What sampling method is used when every 15th student on an alphabetized list is surveyed?
What sampling method is used when every 15th student on an alphabetized list is surveyed?
In a survey, Ms. Cruz wants to know the average weekly allowance of the grade 10 students and only asks 50 students. What is this an example of?
In a survey, Ms. Cruz wants to know the average weekly allowance of the grade 10 students and only asks 50 students. What is this an example of?
What type of random sampling is used when 10 students are randomly selected from each grade level?
What type of random sampling is used when 10 students are randomly selected from each grade level?
What does the term 'stratum' refer to in stratified sampling?
What does the term 'stratum' refer to in stratified sampling?
What kind of studies can population data best assist in?
What kind of studies can population data best assist in?
Which element is essential for a sample to accurately represent a population?
Which element is essential for a sample to accurately represent a population?
When would cluster sampling instead of sample statistic calculations be most effective?
When would cluster sampling instead of sample statistic calculations be most effective?
How does parameter estimation aid in larger studies?
How does parameter estimation aid in larger studies?
In systematic sampling, if the population is 500 and the desired sample size is 25, what is the sampling interval?
In systematic sampling, if the population is 500 and the desired sample size is 25, what is the sampling interval?
Which sampling method is most suitable when the population is geographically dispersed and data collection is costly?
Which sampling method is most suitable when the population is geographically dispersed and data collection is costly?
In multistage sampling, what is the primary advantage of combining different sampling techniques?
In multistage sampling, what is the primary advantage of combining different sampling techniques?
A researcher wants to study the reading habits of students in a university. They randomly select 50 students from each academic department (e.g., English, History, Math). Which sampling method are they using?
A researcher wants to study the reading habits of students in a university. They randomly select 50 students from each academic department (e.g., English, History, Math). Which sampling method are they using?
A researcher wants to estimate the average income of households in a city. They divide the city into blocks and randomly select 10 blocks. Then, they collect data from every household within those 10 blocks. Which sampling method are they using?
A researcher wants to estimate the average income of households in a city. They divide the city into blocks and randomly select 10 blocks. Then, they collect data from every household within those 10 blocks. Which sampling method are they using?
What must occur for simple random sampling to provide each member of the population has an equal opportunity to be selected?
What must occur for simple random sampling to provide each member of the population has an equal opportunity to be selected?
Flashcards
What is a Population?
What is a Population?
A group where members share a common characteristic; the complete collection of observations possible.
What is a Sample?
What is a Sample?
A smaller group or subset taken from the entire population.
What is a Parameter?
What is a Parameter?
Describes a characteristic of an entire population.
What is a Statistic?
What is a Statistic?
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What is Simple Random Sampling?
What is Simple Random Sampling?
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What is Stratified Random Sampling?
What is Stratified Random Sampling?
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What is Cluster Sampling?
What is Cluster Sampling?
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What is 1-in-k Systematic Random Sampling?
What is 1-in-k Systematic Random Sampling?
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What is Multistage Sampling?
What is Multistage Sampling?
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Study Notes
Key Definitions
- A population consists of a group of members with a common characteristic, representing the total set of possible observations.
- A sample is a smaller group, or a subset, taken from the population.
- A parameter describes an entire population.
- A statistic describes only the sample.
Sampling Methods
- Simple random sampling is the simplest way to get a random sample; each population member has an equal chance of being chosen.
- To choose a sample, arrange the population elements in order. Use a computer or scientific calculator to generate the required number of random number, the sample comprises elements corresponding to the random numbers.
- Stratified random sampling involves taking a simple random sample from each subpopulation, known as a stratum.
- Cluster sampling first divides the population into separate groups called clusters. Then, a simple random sample of clusters is selected from available ones.
- 1-in-k systematic random sampling involves randomly selecting one of the initial elements in an ordered population. Elements are then selected systematically selecting every kth element thereafter. The value of k is derived by dividing the population size by the desired sample size.
- Multistage sampling combines two or more probability techniques.
Example 1
- A quality manager wants to determine the average life of manufactured batteries. Employees tested 100 randomly sampled batteries and found an average life of 1100 hours.
- 1100 hours represents the statistic because it describes the sample of 100 batteries.
- The parameter refers to the average lifespan of all batteries produced.
Example 2
- A university marketing department conducts a satisfaction survey by alphabetizing student names and selecting a random start point, after which every 15th student receives a survey.
- Selecting every "kth" element defines 1-in-k systematic random sampling, hence this method is employed.
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Description
Understand populations versus samples and parameters versus statistics. Learn about simple random, stratified random, and cluster sampling. Explore 1-in-k systematic random sampling techniques.