A University Wants to Estimate the Average Distance That Commuter

question 10

Multiple Choice

A university wants to estimate the average distance that commuter students travel to get to class with an error of ± 3 miles and 90 percent confidence. What sample size would be needed, assuming that travel distances are normally distributed with a range of X = 0 to X = 50 miles, using the Empirical Rule μ ± 3σ to estimate σ.

• A)About 28 students
• B)About 47 students
• C)About 30 students
• D)About 21 students

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Definitions:

Hypothetical-deductive reasoning

A method of problem-solving or decision-making that starts with a hypothesis or a proposed explanation, then deduces logical consequences to test the hypothesis.

Logical implications

The relationship between statements where the truth of one indicates the truth of another; foundational in reasoning and argumentation.

Premises

Buildings and land owned or occupied by a person or organization.

Formal operational thinking

A stage in Jean Piaget's theory of cognitive development, starting around age 12, where individuals gain the ability to think abstractly and logically.