## Biostatistics Homework 1

The data below come from Carnegie Mellon StatLib, a repository for statistical data sets. I copied the data and the basic story behind the data from:
http://lib.stat.cmu.edu/DASL/Datafiles/DRPScores.html
The story behind the data is as follows: The data are the results of an experiment to test whether directed reading activities in the classroom help elementary school students improve aspects of their reading ability. A treatment class of 21 third-grade students participated in these activities for eight weeks, and a control class of 23 third-graders followed the same curriculum without the activities. After the eight-week period, students in both classes took a Degree of Reading Power (DRP) test which measures the aspects of reading ability that the treatment is designed to improve. Original source: Schmitt, Maribeth C., The Effects on an Elaborated Directed Reading Activity on the Metacomprehension Skills of Third Graders, Ph.D. dissertaion, Purdue University, 1987.

- Set of the statistical hypothesis test. What is the null hyphothesis? What is the alternative hypothesis? You can write these out has H
_{0} and H_{a} but then translate that mathematical formulation into an English sentence.
- Should the test be one or two-sided? You answer this question BEFORE seeing the data.
- Carry out a 2-sample t-test? What is the value of the t-test statistic? What is its degrees of freedom? What is its p-value? Are the results significant?
- Write one sentence in English summarizing the results.

Treatment Response
Treated 24
Treated 43
Treated 58
Treated 71
Treated 43
Treated 49
Treated 61
Treated 44
Treated 67
Treated 49
Treated 53
Treated 56
Treated 59
Treated 52
Treated 62
Treated 54
Treated 57
Treated 33
Treated 46
Treated 43
Treated 57
Control 42
Control 43
Control 55
Control 26
Control 62
Control 37
Control 33
Control 41
Control 19
Control 54
Control 20
Control 85
Control 46
Control 10
Control 17
Control 60
Control 53
Control 42
Control 37
Control 42
Control 55
Control 28
Control 48