At a Local College, 65 Female Students Were Randomly Selected $\alpha = 0.01$

question 71

Essay

At a local college, 65 female students were randomly selected and it was found that their mean monthly income
was $616 with a population standard deviation of $121.50. Seventy-five male students were also randomly
selected and their mean monthly income was found to be $658 with a population standard deviation of $168.70.
Test the claim that male students have a higher monthly income than female students. Use $\alpha = 0.01$

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Definitions:

Nucleic Acids

Essential biomolecules for life, such as DNA and RNA, are responsible for carrying genetic information and participating in the synthesis of proteins.

Nitrogen

A chemical element with symbol N and atomic number 7, essential for all living organisms, primarily involved in protein synthesis and other vital biological processes.

Proteins

Large, complex molecules essential for the structure, function, and regulation of the body's tissues and organs.

Hydrothermal Vents

Fissures on the seafloor that emit hot water rich in minerals, found typically along mid-ocean ridges, and are known for supporting unique ecosystems.