Assignment 3: Independent sampled T test

Directions

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)

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

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

Mean = 87.5556

Standard deviation = 9.98204

 

3. 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.

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

 

1.010

 

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

21

6. What is the reported level of significance?

0.324

7. 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.