A Person Who Commutes to Work Is Choosing Between Two

question 115

Essay

A person who commutes to work is choosing between two different routes. He tries the first route 11 times and
the second route 12 times and records the time of each trip. The results (in minutes) are shown below. Use a
significance level of 0.01 to test the claim that the times for both routes come from populations with the same
median. Assume the routes were tested on days which were randomly selected.

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Definitions:

Normal Probability Plot

A graphical technique for assessing whether or not a data set is approximately normally distributed.

Standard Deviation

An indicator of the range or spread within a collection of data, demonstrating how significantly the numbers differ from the average value of the group.

Normal Model

A probability distribution that is symmetrical around its mean, predicting that data near the mean are more frequent in occurrence than data far from the mean.

English Exam

A standardized test that assesses the proficiency and understanding of the English language.