Reference no: EM131028489
Assignment: Independent Samples T test
Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a nondirectional 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:
124 113 121 96 86 107 125 116 90 91 101 82 82 99 118
87 116 99 102 89 97 124 127 89 132 122 93 113 102 86
98 125 79 123 114 91 131 122 114 120
School performance scores for comparison district:
115 114 130 79 77 74 91 87 103 71 100 110 73 106 108
101 87 88 125 96 103 91 111 112 91 118 100 91 96 97
108 98 92 135
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 table and narrative statement that reports and interprets the results of the Independent Samples T test.
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