A Large University Is Interested in Learning About the Average $23.243$

question 132

Multiple Choice

A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 51 students and asked each to provide the amount of time they spent traveling to campus. The sample results found that the sample mean was $23.243$ minutes and the sample standard deviation was $20.40$ minutes. Find the rejection region for determining if the population standard deviation exceeds 20 minutes. Use $\alpha = 0.05$ .

• A) Reject \(\mathrm { H } _ { 0 }\) if \(\chi ^ { 2 } > 34.7642\)
• B) Reject \(\mathrm { H } _ { 0 }\) if \(\chi ^ { 2 } > 71.4202\)
• C) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { z } > 1.645\)
• D) Reject \(\mathrm { H } _ { 0 }\) if \(\chi ^ { 2 } > 67.5048\)

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Definitions:

Own Happiness

Taking responsibility for one's own emotional well-being and actively pursuing actions that contribute to personal joy and fulfillment.

Leaders' Attitudes

The perspectives or mindsets of individuals in leadership positions, which can influence their behavior and decision-making processes.

Valuing Diversity

The practice of recognizing and respecting differences among people, including culture, race, gender, and beliefs, and seeing these differences as a source of strength.

Openness to Change

The willingness or readiness of an individual or organization to adapt and embrace changes in their environment or internal practices.