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:

Nonparametric Techniques

Statistical methods that do not assume a specific distribution for the data and are often used for data that does not meet the assumptions necessary for parametric tests.

Population Distribution

The spread of characteristics (e.g., values or categories) within a population.

Statistical Methods

Techniques and procedures used for collecting, analyzing, interpreting, and presenting data.

Wilcoxon Rank Sum Test

A nonparametric statistical test used to compare two independent samples to determine if they come from the same distribution.