Questions: 2. In a school of 1000 students, which method would give you a random sample? a. Selecting every 10 th student from an alphabetical list b. Interviewing only students who volunteer c. Using a random number generator to select students d. Choosing students from only one grade level

Evaluate whether selecting every 10th student from an alphabetical list is a random sampling method.

Definition of random sampling

Random sampling requires that every individual in the population has an equal and independent chance of being selected.

Analysis of the method

Selecting every 10th student from an alphabetical list introduces a systematic pattern, which may not ensure randomness if the list has an inherent order or bias.

\\(\boxed{\text{This method is not random sampling.}}\\)

Evaluate whether interviewing only students who volunteer is a random sampling method.

Definition of random sampling

Random sampling requires that every individual in the population has an equal and independent chance of being selected.

Analysis of the method

Volunteers may not represent the entire population, as they may share specific characteristics or biases, leading to a non-random sample.

\\(\boxed{\text{This method is not random sampling.}}\\)

Evaluate whether using a random number generator to select students is a random sampling method.

Definition of random sampling

Random sampling requires that every individual in the population has an equal and independent chance of being selected.

Analysis of the method

A random number generator ensures that each student has an equal and independent chance of being selected, satisfying the requirements of random sampling.

\\(\boxed{\text{This method is random sampling.}}\\)

Evaluate whether choosing students from only one grade level is a random sampling method.

Definition of random sampling

Random sampling requires that every individual in the population has an equal and independent chance of being selected.

Analysis of the method

Limiting the sample to one grade level excludes other grades, violating the requirement that the sample represents the entire population.

\\(\boxed{\text{This method is not random sampling.}}\\)

\\(\boxed{\text{Selecting every 10th student from an alphabetical list is not random sampling.}}\\)
\\(\boxed{\text{Interviewing only students who volunteer is not random sampling.}}\\)
\\(\boxed{\text{Using a random number generator to select students is random sampling.}}\\)
\\(\boxed{\text{Choosing students from only one grade level is not random sampling.}}\\)