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)

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 School Pair Superintendent School Matched School 1 2 3 4 5 6 7 8 78 72 73 80 79 68 72 81 71 60 69 71 69 69 65 86 9 10 11 12 13 14 15 16 17 77 71 79 85 66 75 83 82 72 77 70 70 90 51 71 88 71 62

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 narrative statement that reports the results of the T Test for Dependent Means.

Answer 1

3)

7) The null hypothesis is rejected, which means that there is a significant evidence that there is a difference in scores of schools in the superintendent’s district and the matched schools.

8) A test was conducted to 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 student.The rusults of the study gave significant results to say that there is a difference in the school performance scores.