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.