Skip to content

MANE 6313 - Design of Experiments

Homework Assignment 1

Assigned: January 27, 2025

Due: February 7, 2025

Utilize R Markdown within RStudio document to:

  1. Create a data vector containing 25 observations from a t-distribution with a degrees of freedom (non-negative integer) of your choice using the rt() function,

  2. Calculate descriptive statistics that includes measures of dispersion such as standard deviation or variance,

  3. Perform Graphical Analysis

A. Construct a Box plot and comment on whether the data is from a symmetric or asymetric distribution,

B. Construct a line plot and comment if there are any trends or cycles in the line plot,

C. Construct a normal probability plot with confidence bands and comment if the data appears to be from a normal distribution

  1. Knit the document to create a Word document,

  2. From within the Word document, export the document to a PDF file, and

  3. Upload your PDF to the homework 1 drop box.

More information about the t- distribution and the rt() function can be found at https://stat.ethz.ch/R-manual/R-devel/library/stats/html/TDist.html. Note that the non-central parameter (ncp) is not being used and does not need to be defined for this assignment.