An Experiment Has Been Conducted at a University to Compare

question 86

Essay

An experiment has been conducted at a university to compare the mean number of study hours expended per week by student athletes with the mean number of hours expended by non athletes. A random sample of 55 athletes produced a mean equal to 20.6 hours studied per week and a standard deviation equal to 5.3 hours. A second random sample of 200 non athletes produced a mean equal to 23.5 hours per week and a standard deviation equal to 4.3 hours. How many students would need to be sampled in order to estimate the difference in means to within 1.5 hours with probability 95%?

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Definitions:

Northeastern Australia

A region of Australia located in the northeast part of the continent, known for its diverse ecosystems, including the Great Barrier Reef.

Caribbean

A region consisting of the Caribbean Sea, its islands, and the surrounding coasts, known for its diverse ecosystem.

Red Sea

A seawater inlet of the Indian Ocean, lying between Africa and Asia, known for its unique marine life and extensive coral reefs.

Atoll

A curved to roughly circular reef that encloses a shallow, inner lagoon and low islands.