In: Statistics and Probability
Table D. The effect of an explanation of the endocrine system on pre- and post-test scores (%).
Student |
Pre-test |
Post-test |
1 |
25 |
59 |
2 |
33 |
45 |
3 |
37 |
44 |
4 |
39 |
51 |
5 |
31 |
41 |
6 |
31 |
42 |
7 |
27 |
58 |
a. Do you use a paired or unpaired comparison? Why?
Paired, because
b. Use Excel to calculate means and standard deviations.
Pre-test mean score __ 31.85714286__ + _ 5.014265364_; post-test mean score _48.57143_ + _ 7.502381_
c. Did the scores significantly improve following the explanation of the subject? Perform a 1-tailed t-test to see if there was an improvement.
p = _ 0.0034072_
d. Is there a significant difference between these two sets of scores?
e. State your conclusion (not a statistical inference) based on your statistical output.
f. Generate a column graph (Figure 1) with standard deviation error bars to present your data.
(cut and paste Figure 1 here)
A.
Paired, because observations are paired according to the students.
B.
C.
p-value = 0.0034 < 0.05 i.e. we can reject H0 and hence we can claim that scores significantly improve following the explanation of the subject (as the difference is proved to be negative)
D.
p-value = 0.0068 < 0.05 (significance level) i.e. we can reject H0 and hence we can claim that there is a significant difference in the scores.
E.
We can claim that there is a significant difference in the scores and score improves after the explanation.
F.
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