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: 2 1 1 2 2 2 4 3 4 1 2 2 1
Group 2: Out of state students: 1 2 2 3 1 1 1 2 5 2 2 1 1
Make sure that the option "Select Test Statistic:" says "Difference of sample means".
The test statistic appears at the bottom of the screen.
What is the test statistic?

Group of answer choices

A. 0.0769
B. 0.7315
C. 2
D. 0.231

The permutation test is a statistical technique that is becoming more popular for creating sample distributions (or sometimes called a randomization test). Similar to bootstrapping, a permutation test resamples the observed data to create the sampling distribution, or "permutation distribution," rather than assuming it.

Group 1 data(in state sudents): 2 3 3 6 2 1 1 5 3 2.5

Group 2 data(out of state sudents):1 2 2 1 2 1 4 3 9 1 12 5 2

Summary Statistics For Permutation Distribution:

Permutations Unique Values Mean St. Dev. Min Q1 Median Q3 Max

10,000 71 -0.0153 1.15 -2.91 -0.877 0.00769 0.804 3.37

Permutation Test:

Number of Permutations Test Statistic Observed Value Number of Permutations with (x1 - x2) As or More Extreme Than Observed Value Permutation P-value

10,000 x1 - x2 -0.612 6,386 0.6386

To learn more about Permutation Distribution visit:https://brainly.com/question/1216161

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