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

question 144

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. It is desired to determine if the population standard deviation exceeds 20 minutes. Calculate the test statistic for this test of hypothesis.

• A) \(\chi ^ { 2 } = 58.11\)
• B) \(\chi ^ { 2 } = 52.02\)
• C) \(\chi ^ { 2 } = 51\)
• D) \(\chi ^ { 2 } = 53.06\)

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Definitions:

Semicircular Canals

Structures in the inner ear involved in maintaining balance and sensing head rotation.

Cochlea

Spiral-shaped structure of the vertebrate inner ear containing the sensory receptors for hearing.

Inner Ear

Portion of the ear consisting of a vestibule, semicircular canals, and the cochlea where equilibrium is maintained and sound is transmitted.

Aqueous Humor

A clear fluid that fills the space in the front part of the eye between the lens and the cornea.