What method should be used for selecting a simple random sample of students?

Prepare for ASU's STP226 Elements of Statistics Exam 1. Enhance your statistical skills with multiple choice questions, detailed explanations, and practice materials. Master statistical concepts effectively!

The correct answer involves utilizing random-number generation software, which ensures that every individual in the population of students has an equal chance of being selected for the sample. This method upholds the principles of randomness, crucial in eliminating bias and ensuring that the sample accurately represents the population as a whole.

In contrast, distributing surveys in a large classroom may lead to a sample biased toward those who attend that particular class and may not represent the entire student body. Convenient sampling from a nearby study group can also introduce bias, as it tends to favor specific groups of students who are readily available, rather than selecting randomly from the entire population. Asking volunteers to participate creates self-selection bias, as those who choose to volunteer might have different characteristics compared to those who do not, potentially skewing the results.

Using random-number generation software mitigates these issues by relying on a systematic and unbiased method to select individuals from the entire population. This approach is ideal for obtaining a simple random sample.

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