Trying to improve the techniques I use in the classroom and reduce the anxiety o
ID: 3378608 • Letter: T
Question
Trying to improve the techniques I use in the classroom and reduce the anxiety of the students, I decided to try an experiment. I decided that I would incorporate more relaxation techniques prior to exams. For a comparison, I subjected the students to twice the exams (evil I know). In essence, I did a pre-and post-test. The scores are above. at 0.05, can it be concluded that the relaxation techniques helped improve test scores?
No Relax 85 72 91 56 80 94 82 78 68 Relax 87 70 92 68 79 93 86 72 70Explanation / Answer
85 87 2
72 70 -2
91 92 1
56 68 12
80 79 -1
94 93 -1
82 86 4
78 72 -6
68 70 2
Let
group 2 = relax
group 1 = no relax
Let ud = u2 - u1.
Formulating the null and alternative hypotheses,
Ho: ud <= 0
Ha: ud > 0
At level of significance = 0.05
As we can see, this is a right tailed test.
Calculating the standard deviation of the differences (third column):
s = 4.273774855
Thus, the standard error of the difference is sD = s/sqrt(n):
sD = 1.424591618
Calculating the mean of the differences (third column):
XD = 1.222222222
As t = [XD - uD]/sD, where uD = the hypothesized difference = 0 , then
t = 0.857945678
As df = n - 1 = 8
Then the critical value of t is
tcrit = + 2.306004135
Thus, comparing t < tcrit, we WE FAIL TO REJECT THE NULL HYPOTHESIS.
Thus, there is no significant evidence that the relaxation techniques helped improve test scores. [CONCLUSION]
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