Questions: 4.
A teacher wants to know if her students are doing homework, so she randomly selects rows two and five and then calls on all students in row two and all students in row five to present the solutions to homework problems to the class.
A Systematic Random Sample
B Convenience Sample
C Cluster Random Sample
D Stratified Random Sample
E Simple Random Sample
5.
The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books.
A Stratified Random Sample
B Systematic Random Sample
C Cluster Random Sample
D Convenience Sample
E Simple Random Sample
Transcript text: 4.
A teacher wants to know if her students are doing homework, so she randomly selects rows two and five and then calls on all students in row two and all students in row five to present the solutions to homework problems to the class.
A Systematic Random Sample
B Convenience Sample
C Cluster Random Sample
D Stratified Random Sample
E Simple Random Sample
5.
The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books.
A Stratifled Random Sample
B Systematic Random Sample
c Cluster Random Sample
D Convenience Sample
E Simple Random Sample
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Solution
Solution Steps
Step 1: Analyze the sampling method in question 4
The teacher selects rows two and five and includes all students in those rows. This means she is selecting entire groups (rows) rather than individual students.
This method is known as Cluster Random Sampling, where the population is divided into clusters (rows in this case), and entire clusters are randomly selected for inclusion in the sample.
Step 2: Analyze the sampling method in question 5
The librarian records data for every fourth patron who checks out books. This involves selecting samples at regular intervals (every fourth patron).
This method is known as Systematic Random Sampling, where a starting point is chosen randomly, and then every \( k \)-th element is selected from the population.
Step 3: Match the sampling methods to the options
For question 4, the correct answer is C Cluster Random Sample.
For question 5, the correct answer is B Systematic Random Sample.
Final Answer
For question 4: \(\boxed{C}\)
For question 5: \(\boxed{B}\)