QQuestionStatistics
QuestionStatistics
Match the name of the sampling method descriptions given
Situations
- Pulling 50 names from a hat
- Asking your 20 closest friends
- Separating all students by grade level, and selecting 10 students from each grade
- Call every 15th phone number on every 5th page of the phone book
- Dividing by population by voting precinct, and sampling everyone in the precints selected
Sampling Method:
A.Cluster
B.Convenience
C.Stratified
D.Systematic
E.Simple Random
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Answer
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Step 1:
Situation: Pulling 50 names from a hat Sampling Method: Simple Random Explanation: In this situation, every member of the population has an equal chance of being selected. This is the definition of simple random sampling.
Step 2:: Define the population.
Let's assume the population consists of N names.
Step 3:: Assign a unique number (1 to N) to each name in the population.
Step 4:: Use a random number generator to select 50 numbers between 1 and N.
These 50 numbers represent the 50 names selected from the population.
Step 5:
Situation: Asking your 20 closest friends Sampling Method: Convenience Explanation: In this situation, the sample is selected based on ease of access, not representativeness. This is the definition of convenience sampling.
Step 6:: Define the population.
Let's assume the population consists of all individuals who could potentially be your friend.
Step 7:: Select the 20 individuals who are easiest for you to reach and ask them to participate in the study.
Step 8:
Situation: Separating all students by grade level, and selecting 10 students from each grade Sampling Method: Stratified Explanation: In this situation, the population is divided into homogeneous subgroups (strata), and a sample is taken from each subgroup. This is the definition of stratified sampling.
Step 9:: Define the population.
Let's assume the population consists of all students in a school.
Step 10:: Divide the students into strata based on their grade level.
Step 11:: Randomly select 10 students from each stratum (grade level).
Step 12:
Situation: Call every 15th phone number on every 5th page of the phone book Sampling Method: Systematic Explanation: In this situation, the sample is selected based on a systematic pattern, where every nth member of the population is selected. This is the definition of systematic sampling.
Step 13:: Define the population.
Let's assume the population consists of all phone numbers in the phone book.
Step 14:: Determine the sampling interval (n) by dividing the population size by the desired sample size.
Step 15:: Starting from a random point, select every nth member of the population until the desired sample size is reached.
Step 16:
Situation: Dividing by population by voting precinct, and sampling everyone in the precincts selected Sampling Method: Cluster Explanation: In this situation, the population is divided into clusters (voting precincts), and a sample is taken from a random selection of these clusters. This is the definition of cluster sampling.
Step 17:: Define the population.
Let's assume the population consists of all individuals in a city.
Step 18:: Divide the city into voting precincts (clusters).
Step 19:: Randomly select a number of precincts.
Step 20:: Sample every member in the selected precincts.
Final Answer
Situation A: Simple Random Sampling Situation B: Convenience Sampling Situation C: Stratified Sampling Situation D: Systematic Sampling Situation E: Cluster Sampling
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