Assignment: T test for Dependent Samples
Directions: Conduct a T test for Dependent Samples to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two tailed test) and a level of significance of .05)
To further examine the school performance scores of the district, the superintendent identified schools within the district that could be matched to schools from surrounding districts using a series of demographic characteristics such as size, socio-economic status, and percent special education students. The data that was collected is presented below.
|
School
Pair
|
Superintendent
School
|
Matched School
|
|
School
Pair
|
Superintendent School
|
Matched School
|
|
1
2
3
4
5
6
7
8
|
124
111
86
125
96
121
111
115
|
98
103
95
110
84
101
108
114
|
|
9
10
11
12
13
14
15
|
99
89
125
106
121
122
125
|
104
111
98
115
87
100
99
|
1. What are the mean school performance scores for the superintendent's district and matched schools?
2. What are the standard deviations of the school performance scores for the superintendent's district and matched schools?
3. State an appropriate null hypothesis for this analysis.
4. What is the observed or computed value of t?
5. What is the value of the degrees of freedom that are reported in the output?
6. What is the reported level of significance from the T Test for Dependent Means?
7. Based on the results of the T Test for Dependent Means, what would you conclude about the difference in scores of schools in the superintendent's district and the matched schools?
8. Present the results as they might appear in an article. This must include a table and narrative statement that reports the results of the T Test for Dependent Means.