An educator believes that new reading activities in the classroom will help elementary school pupils improve their reading ability. She arranges for a third-grade class of 11 students to follow these activities for an 8-week period. A control classroom of 13 third graders follows the same curriculum without the activities. At the end of the 8 weeks, all students are given the Degree of Reading Power (DRP) test, which measures the aspects of reading ability that the treatment is designed to improve. The table below represents the results of this test.
Treatment:
41
41
52
76
54
51
51
42
43
44
58
x
x
Control:
60
44
52
31
27
62
53
44
45
41
45
35
42
Assuming the population of test scores is normally distributed, does it appear that these new reading activities actually improve scoring on the DRP at the 5% significance level?
1) State the null and alternate hypothesis.
2) What is the calculated test score (test statistic) for this test? ____________________ ? Show steps.
3) What is the p-value for this test? ___________________ Show steps.
4) Conclude either "reject" or "do not reject" the null hypothesis based on your analysis.
Reject
Do Not Reject
5) Does it appear that these new reading activities actually improve scoring on the DRP at the 5% significance level? (yes or no) _________