Assuming equal variances, what is our t-statistic? How many degrees of freedom w

Question

Assuming equal variances, what is our t-statistic? How many degrees of freedom were used? Is there a difference in annual income between those who have received food assistance and those who have not? Are our findings significant?

Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference Lower Upper Annual Income Equal variances assumed 4.768 0.035 7.117 38 0.000 34593.407 4860.815 24753.202 44433.611 Equal variances not assumed 6.016 17.305 0.000 34593.407 5750.264 22477.692 46709.121

Explanation / Answer

Our t statistic is : t value = 7.117

Degrees of freedom used are = 38

Yes, as p-value = 0.000 < < 0.01, there a significant difference in annual income between those who have received food assistance and those who have not.

Yes, our findings are significant. Income level of two groups, one receiving food assistance and the other not receiving is significantly different.   

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