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

question 1

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

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Definitions:

Test Screenings

The previewing of a movie, TV show, or a new product to a selected audience before its general release to gather feedback and make improvements.

Tracking Studies

Continuous research methods used to monitor changes over time, often used in marketing to track brand performance or consumer attitudes.

Market Share

The portion of a market controlled by a particular company or product.