An Experiment Has Been Conducted at a University to Compare

question 22

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 5.5 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 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:

Adolescent's Pattern

Refers to typical behaviors, habits, or trends observed during the teenage years.

Close Friends

Individuals with whom one shares a deep, personal bond, characterized by mutual affection, trust, and support.

Drug Use

The consumption of substances, which can be legal or illegal, that alter the body's functioning, mood, consciousness, or perception.

Actively Religious

Engaging in religious practices and beliefs with regularity and fervor, often implying participation in community worship, rituals, and other religious activities.