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:

Expected Frequency

In statistics, the frequency expected in a category of a contingency table under the assumption that the null hypothesis is true.

Chi-Square

A statistical test that measures the difference between observed and expected frequencies in categorical data.

Row Variable

In the context of a data table or matrix, it refers to the variable represented by the rows, often used in cross-tabulation to compare against another variable.

Column Variable

A variable represented by a column in a dataset, where each entry in the column represents a value of the variable.