Based on the above data: • create a null hypothesis and a research hypothesis st
ID: 3310674 • Letter: B
Question
Based on the above data:• create a null hypothesis and a research hypothesis statement. Illustrate each hypothesis with an equation.
• determine whether there is a significant difference in student's quality of essays before and after the writing workshop at a significance level of .05. (Hint: make sure you pay attention to your research hypothesis when you are determining your critical value.)
• create an APA style sentence that summarizes and interprets your findings. 2. The following data depict student's scores on an essay before and after a writing workshop. Before After 1.30 2.50 2.30 8.10 5.00 7.00 7501 5.20 4.40 7.60 6.50 8.70 9.80 10.20 7.90 6.50 8.70 7.90 8.70 9.10
Explanation / Answer
Before
After
Di
(Di-D)
(Di-D)^2
1.3
6.5
5.2
1.89
3.5721
2.5
8.7
6.2
2.89
8.3521
2.3
9.8
7.5
4.19
17.5561
8.1
10.2
2.1
-1.21
1.4641
5
7.9
2.9
-0.41
0.1681
7
6.5
-0.5
-3.81
14.5161
7.5
8.7
1.2
-2.11
4.4521
5.2
7.9
2.7
-0.61
0.3721
4.4
8.7
4.3
0.99
0.9801
7.6
9.1
1.5
-1.81
3.2761
Avg
Sum
3.31
54.709
H0: D = 0
H1: D # 0
D=EDi/n
=33.1/10
=3.31
S=E(Di-D)^2/n-1
=54.709/9
=2.4655
tSTAT=D-m/SD/n
=3.31-0/2.4655/10
=4.2454
tCRIT is +/-2.26. tSTAT > tCRIT. Hence, reject the null hypothesis. Hence, we conclude that there is a significant difference in student's quality of essays before and after the writing workshop at a significance level of .05.
Before
After
Di
(Di-D)
(Di-D)^2
1.3
6.5
5.2
1.89
3.5721
2.5
8.7
6.2
2.89
8.3521
2.3
9.8
7.5
4.19
17.5561
8.1
10.2
2.1
-1.21
1.4641
5
7.9
2.9
-0.41
0.1681
7
6.5
-0.5
-3.81
14.5161
7.5
8.7
1.2
-2.11
4.4521
5.2
7.9
2.7
-0.61
0.3721
4.4
8.7
4.3
0.99
0.9801
7.6
9.1
1.5
-1.81
3.2761
Avg
Sum
3.31
54.709
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