Assume that the average self-esteem scores with middle school students is 30. Ba
ID: 2930585 • Letter: A
Question
Assume that the average self-esteem scores with middle school students is 30. Based on a sample of 30 respondents in the below, perform a hypothesis test to determine if these students have significantly higher self-esteem score. Use a .01 level of statistical significance. State each step of your hypothesis test.
3. Use variables Pre and Post. Test the hull hypothesis that there is no difference between the means of pre- and post-seminar social competency scores. Use a .10 level of statistical significance. State each step of your hypothesis test.
4. Testing null hypothesis that the frequency of visitors that students receive (Visitors) and student development score (Development) are independent. Use a .01 level of statistical significance.
5. Testing null hypothesis that the quality of treatment (Treatment) and student development score (Development) are independent. Use a .01 level of statistical significance.
* Visitors (1=Frequent & 2=Rarely)
* Treatment (1=Excellent/Good & 2=Poor)
* Condition ((1=Integrated Course & 2=Traditional Course)
Subject
Visitors
Treatment
Self-Esteem
Pre
Post
Development
1
1
1
25
31
34
25
2
1
1
37
26
25
48
3
1
1
12
32
38
22
4
1
1
32
38
36
49
5
1
1
22
29
29
15
6
1
2
31
34
41
37
7
1
2
30
24
26
60
8
1
1
30
35
42
30
9
1
2
15
30
36
55
10
1
1
34
36
44
27
11
2
2
18
31
28
47
12
2
2
37
27
32
43
13
2
2
19
25
25
50
14
2
2
33
28
30
45
15
2
1
10
32
41
27
16
2
2
35
27
37
39
17
2
2
39
37
39
52
18
2
1
13
29
33
53
19
2
2
35
31
40
60
20
2
1
15
27
28
20
21
1
1
35
24
26
32
22
2
2
17
35
42
58
23
1
2
20
30
36
41
24
2
1
22
36
44
17
25
1
1
14
31
28
33
26
2
2
35
27
32
20
27
1
2
20
25
25
44
28
2
1
29
28
30
56
29
2
1
40
32
41
18
30
1
2
30
24
37
59
Subject
Visitors
Treatment
Self-Esteem
Pre
Post
Development
1
1
1
25
31
34
25
2
1
1
37
26
25
48
3
1
1
12
32
38
22
4
1
1
32
38
36
49
5
1
1
22
29
29
15
6
1
2
31
34
41
37
7
1
2
30
24
26
60
8
1
1
30
35
42
30
9
1
2
15
30
36
55
10
1
1
34
36
44
27
11
2
2
18
31
28
47
12
2
2
37
27
32
43
13
2
2
19
25
25
50
14
2
2
33
28
30
45
15
2
1
10
32
41
27
16
2
2
35
27
37
39
17
2
2
39
37
39
52
18
2
1
13
29
33
53
19
2
2
35
31
40
60
20
2
1
15
27
28
20
21
1
1
35
24
26
32
22
2
2
17
35
42
58
23
1
2
20
30
36
41
24
2
1
22
36
44
17
25
1
1
14
31
28
33
26
2
2
35
27
32
20
27
1
2
20
25
25
44
28
2
1
29
28
30
56
29
2
1
40
32
41
18
30
1
2
30
24
37
59
Explanation / Answer
Answer:
MINITAB used
Assume that the average self-esteem scores with middle school students is 30. Based on a sample of 30 respondents in the below, perform a hypothesis test to determine if these students have significantly higher self-esteem score. Use a .01 level of statistical significance. State each step of your hypothesis test.
One-Sample T: Self-Esteem
Upper tail test used
Descriptive Statistics
N
Mean
StDev
SE Mean
99% Lower Bound
for
30
26.13
9.22
1.68
21.99
: mean of Self-Esteem
Test
Null hypothesis
H: = 30
Alternative hypothesis
H: > 30
T-Value
P-Value
-2.30
0.985
Calculate t=-2.30, P=0.985 which is > 0.01 level. Ho is not rejected.
There is not enough evidence to conclude that the students have significantly higher self-esteem score.
3. Use variables Pre and Post. Test the hull hypothesis that there is no difference between the means of pre- and post-seminar social competency scores. Use a .10 level of statistical significance. State each step of your hypothesis test.
Paired T-Test and CI: Pre, Post
Descriptive Statistics
Sample
N
Mean
StDev
SE Mean
Pre
30
30.03
4.10
0.75
Post
30
34.17
6.23
1.14
Estimation for Paired Difference
Mean
StDev
SE Mean
90% CI for
_difference
-4.133
4.158
0.759
(-5.423, -2.843)
µ_difference: mean of (Pre - Post)
Test
Null hypothesis
H: _difference = 0
Alternative hypothesis
H: _difference 0
T-Value
P-Value
-5.44
0.000
Calculate t=-5.44 P=0.000 which is < 0.10 level. Ho is rejected.
There is enough evidence to conclude that there is a difference between the means of pre- and post-seminar social competency scores.
4. Testing null hypothesis that the frequency of visitors that students receive (Visitors) and student development score (Development) are independent. Use a .01 level of statistical significance.
Two-Sample T-Test and CI: Development, Visitors
Method
: mean of Development when Visitors = 1
µ: mean of Development when Visitors = 2
Difference: - µ
Equal variances are assumed for this analysis.
Descriptive Statistics: Development
Visitors
N
Mean
StDev
SE Mean
1
15
38.5
13.8
3.6
2
15
40.3
15.7
4.1
Estimation for Difference
Difference
Pooled
StDev
99% CI for
Difference
-1.87
14.80
(-16.80, 13.07)
Test
Null hypothesis
H: - µ = 0
Alternative hypothesis
H: - µ 0
T-Value
DF
P-Value
-0.35
28
0.732
Calculate t=-0.35, P=0.732 which is > 0.01 level. Ho is not rejected.
There is not enough evidence to reject the claim that frequency of visitors that students receive (Visitors) and student development score (Development) are independent..
5. Testing null hypothesis that the quality of treatment (Treatment) and student development score (Development) are independent. Use a .01 level of statistical significance.
Tabulated Statistics: Visitors, Treatment
Rows: Visitors Columns: Treatment
1
2
All
1
9
6
15
7.500
7.500
2
6
9
15
7.500
7.500
All
15
15
30
Cell Contents
Count
Expected count
Chi-Square Test
Chi-Square
DF
P-Value
Pearson
1.200
1
0.273
Likelihood Ratio
1.208
1
0.272
Calculate chi square = 1.20, P=0.273 which is > 0.01 level. Ho is not rejected.
There is not enough evidence to reject the claim that the quality of treatment (Treatment) and student development score (Development) are independent.
N
Mean
StDev
SE Mean
99% Lower Bound
for
30
26.13
9.22
1.68
21.99
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