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:

Cyclic AMP

Cyclic AMP (cAMP) is a second messenger important in many biological processes, including the regulation of metabolism, gene transcription, and cell signaling.

Nucleotide

The basic building block of nucleic acids, such as DNA and RNA, consisting of a sugar, phosphate group, and nitrogenous base.

Purines

Nitrogenous bases with carbon and nitrogen atoms in two attached rings (e.g., adenine and guanine); components of nucleic acids, ATP, GTP, NAD1, and certain other biologically active substances. Compare with pyrimidines.

Pyrimidines

A class of nitrogenous bases found in nucleic acids, including cytosine, thymine (in DNA), and uracil (in RNA).