Using the artofstat.com website, click on Web Apps, Permutation Test.You should be on the tab at the top of the screen that says "Data Entry and Descriptive Stats." Make sure that it is selected. We are going to enter the data to run a permutation test to see if there is a difference in the mean amount of time spent on emails per day between in state and out of state students.

First select "Enter Your Own Observations".

Under Name of Group 1 enter: In state Students

Under Name of Group 2 enter: Out of state students.

Under Name of Response Variable enter: time.

Enter the below data under the heading "Enter observations for each group, separated by spaces, or copy & paste from spreadsheet:"

Group 1: In state students:2336211532.5

Group 2: Out of state students:122121439112 5 2

Click the tab at the top of the screen that says "Permutation Distribution."

Make sure that the option "Select Test Statistic:" says "Difference of sample means".

Select number of permutations to be equal to 10,000. Then, click on Generate Permutations.

Make sure that the correct alternative hypothesis is selected.

What is the p-value? (It is listed on the bottom of the page.)

0.61

0.69

0.64

0.33