# Assignment 3: Independent sampled T test

## Scenario

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:

 102 101 82 101 104 81 76 60 68 102 101 102 86 106 81 99 73 90 107 80 84 96 106 99 96

### School performance scores for comparison district:

 99 77 91 74 89 96 87 84 81 70 105 86 105 77 93 91 72 98 94 87 79 80 106 86 87 79 91

## Questions

1. What are the mean and standard deviation for the superintendent’s district?

Mean = 90.4091

Standard deviation = 13.54590

1. What are the mean and standard deviation for the comparison district?

Mean = 87.5556

Standard deviation = 9.98204

1. State an appropriate null hypothesis for this analysis.

Null Hypothesis: There is no difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic characteristics.

1. What is the observed or computed value of t?

1.010

1. What is the value of the degrees of freedom that are reported in the output (equal variances assumed)?

21

1. What is the reported level of significance?

0.324

1. Based on the reported level of significance, would you reject the null hypothesis?

No, I would not reject as the level of significance is greater than 95% confidence interval.