In: Statistics and Probability
Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a non-directional research hypothesis (two-tailed test) and a level of significance of .05) The superintendent who collected data for Assignments 1 and 2, continued to examine the district’s data. One question that concerned the superintendent’s constituencies was the difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic characteristics. The superintendent collected the following information: School performance scores for superintendent’s district: 72 64 67 71 80 65 72 64 64 69 61 68 79 66 75 88 72 60 70 74 63 62 69 81 69 57 School performance scores for comparison district: 76 63 58 65 77 65 71 58 79 66 71 80 63 76 79 73 81 76 79 65 60 88 56 82 60 52 57 66 83
1. What are the mean and standard deviation for the superintendent’s district?
2. What are the mean and standard deviation for the comparison district?
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 (equal variances assumed)?
6. What is the reported level of significance?
7. Based on the reported level of significance, would you reject the null hypothesis?
8. Present the results as they might appear in an article. This must include a narrative statement that reports and interprets the results of the Independent Samples T test.
6) let Los be Alfa = 0.05
7) p value = 0.8267
Since p value > 0.05 , we fail to reject the null hypothesis.
8) there was no difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic characteristics.