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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