Question

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 8-week 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 t-test to determine if the treatment increases scores on the DRP reading test. Set α = 0.05

Answer 1

	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

P-value = P[ T > 7.5143 | H₀ ] < 0.05

since, p-vale < 0.05 we reject the null hypothesis at 5% level of significance and conclude that the treatment increases scores on the DRP reading test.