Group Statistics 

Group 
N 
Mean 
Std. Deviation 
Std. Error Mean 

DRP Score 
1 
21 
51.48 
11.007 
2.402 
2 
23 
41.52 
17.149 
3.576 
An educator conducted an experiment to test whether new directed reading activities in the classroom will help elementary school pupils improve some aspects of their reading ability. She arranged for a third grade class of 21 students to follow these activities for an 8week period. A control classroom of 23 third graders followed the same curriculum without the activities. At the end of the 8 weeks, all students took a Degree of Reading Power (DRP) test, which measures the aspects of reading ability that the treatment is designed to improve. Run an independent samples ttest to determine if the treatment increases scores on the DRP reading test. Set α = 0.05
group  N  
DRP  1  21  51.48  11.007  2.402 
2  23  41.52  17.149  3.576 
We want to test the hypothesis:
define:
pooled variance,
test statistic:
T= 7.5143
Pvalue = P[ T > 7.5143  H_{0} ] < 0.05
since, pvale < 0.05 we reject the null hypothesis at 5% level of significance and conclude that the treatment increases scores on the DRP reading test.
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