Consider a two-sample t-test. Why is the sign of the t-test arbitrary? . Why are the degrees...

Consider a two-sample t-test.

Why is the sign of the t-test arbitrary? .
1. Why are the degrees of freedom associated with the dependent groups t-test always smaller than the degrees of freedom for the independent groups t-test? Be sure to illustrate the calculation of each type of df.
2. Describe how one would test the homogeneity of variance in a two-sample t-test. How is this information used in your hypothesis testing?
3. How would you go about using a confidence interval to illustrate a statistically significant difference (or lack thereof) between two groups?

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