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 sc

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:

102101821011048176606810210110286106
819973901078084961069996   

School performance scores for comparison district:

997791748996878481701058610577
939172989487798010686877991 

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.

 

Reference no: EM132069492

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