Statistic question

The Assignment

Simulate data for which assumptions of the t-test are met
Simulate data for which assumptions of the t-test are not met
Simulate data with outliers
Analyze all three types of data mentioned above with both the t-test and binomial test
Calculate the Type I error in each situation
Which test is more resistant and/or robust, at least in terms of Type I error?

Submission Guidelines

The results should be typed like a paper, with clearly defined sections for Introduction, Methods, Results, and Conclusions.
Your name must be at the top of the first page and on each successive page.
There should be an informative title (“Simulation Challenge 1” is not informative).
If you use MS Word to type homework, use an easy to read variable-width font (I like Ariel, Helvetica, and Geneva fonts) with a minimum of 12 point font.
Tables and graphs should be included in the body of the paper, as close as possible to the text that describes them.
Any graphics from R must be electronically cut-and-pasted in-line at the appropriate point of the write-up. Resize the graphics window to optimize the readability. I will show you how to do this in class.
Any mathematical notation must be provided with appropriate use of subscripts, superscripts and symbols. Use MS Equation or another equation editor if you submit your work in Word.
Captions for tables and graphs should be contain a description of the variable on the x-axis, a description of the variable on the y-axis, a description of any plotting symbols, and a brief summary of the point that the graph or table is meant to convey.
Code for the simulation challenge should be uploaded IN A SEPARATE FILE in plain text format. The code should be working code (no mistakes). Part of your grade is determined by how easily I can copy and paste your code from the text file and reproduce your results.
Maximum of 7 pages, including tables and graphs. There is no minimum. The code file is not included in the page count.