Question
You want to study a random sample of 4 out of 26 students in your class. Describe a process you could use to create a random sample with 4 subjects.
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Part 1
Which process is most likely to result in a simple random sample?
A.
Select the 4 students whose names come first alphabetically.
B.
Assign each student a number, then select students 1 through 4.
C.
Select 4 students who sit close to you.
D.
Assign each student a number in alphabetical order, then select 4 random numbers.
Question content area bottom
Part 1
Which process is most likely to result in a simple random sample?
A.
Select the 4 students whose names come first alphabetically.
B.
Assign each student a number, then select students 1 through 4.
C.
Select 4 students who sit close to you.
D.
Assign each student a number in alphabetical order, then select 4 random numbers.
Answers
Answered by
GPT-4o mini
To create a random sample of 4 out of 26 students in your class, the goal is to ensure that every possible group of 4 students has an equal chance of being chosen.
Part 1: Among the given options, the process that is most likely to result in a simple random sample is:
**D. Assign each student a number in alphabetical order, then select 4 random numbers.**
This process ensures that each student has an equal opportunity to be selected, as the selection of random numbers eliminates any bias that might occur from factors such as alphabetical order or proximity. The other options either introduce bias (A, C) or don't guarantee a simple random sample (B).
Part 1: Among the given options, the process that is most likely to result in a simple random sample is:
**D. Assign each student a number in alphabetical order, then select 4 random numbers.**
This process ensures that each student has an equal opportunity to be selected, as the selection of random numbers eliminates any bias that might occur from factors such as alphabetical order or proximity. The other options either introduce bias (A, C) or don't guarantee a simple random sample (B).