Statistic
Submitted by: Submitted by sarahyap94
Views: 10
Words: 1526
Pages: 7
Category: Business and Industry
Date Submitted: 10/18/2016 04:00 PM
An educator conducted an experiment to test whether new directed reading activities in the classroom will help elementary school pupils improve their reading ability. She arranged for a third grade class of 21 randomly selected students to follow these activities for an 8-week period. A control classroom of 23 randomly selected 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. Assume that the samples are independent, and the distribution of DPR Scores follows normal distribution.
Group
DPR Score
Treated
24
Treated
43
Treated
58
Treated
71
Treated
43
Treated
49
Treated
61
Treated
44
Treated
67
Treated
49
Treated
53
Treated
56
Treated
59
Treated
52
Treated
62
Treated
54
Treated
57
Treated
33
Treated
46
Treated
43
Treated
57
Control
42
Control
43
Control
55
Control
26
Control
62
Control
37
Control
33
Control
41
Control
19
Control
54
Control
20
Control
85
Control
46
Control
10
Control
17
Control
60
Control
53
Control
42
Control
37
Control
42
Control
55
Control
28
Control
48
PART 1
Hypothesis: We propose that the mean DPR scores of the Treated third graders will be significantly higher than the mean DPR scores of the Controlled third graders.
PART 2
In the boxplots above we can see the difference of scores in the Treated group and the Control group. In the Treated group, the range is smaller, starting at 24 and the highest score at 71. The median for the Treated group is also larger (53 DRP) compared to the Control group (42 DRP). On average the Treated group has higher DRP scores.
The Control group has a much larger range in DRP scores, starting at 10 and the highest score being 85. The median of the control group is a score of 42. Without the treatment the average scores are lower.
The range of the histogram for the treatment group has a much...
