Question

Assignment 4: 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)

Scenario

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 were collected are presented below.

School Pair	Superintendent School	Matched School
1	60	61
2	101	100
3	81	86
4	106	84
5	73	79
6	102	104
7	104	109
8	80	65
9	99	100
10	101	93
11	101	96
12	102	105
13	82	72
14	84	87
15	86	89
16	90	85
17	102	106

Questions

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.

Note: The table must be created using your word processing program. Tables that are copied and pasted from SPSS are not acceptable.

Answer 1

mean school performance scores for the superintendent’s district 91.41 and matched school 89.47

standard deviations of the school performance scores for the superintendent’s district 13.182

and matched school 14.310