1. Why might the T-test be more useful in actual practice when you are running statistics rather than a Z-test? Give an example of a situation where you might use each of these and label their pros and cons.

1. We are looking at depression scores from a general sample of random children in the U.S. We want to see if the scores of our sample are significantly different than the national average depression scores of children in the U.S.? We know the national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the U.S. national average.

Your sample

11

9

12

3

3

4

13

What is the null and alternative hypotheses (do not specify any directionality)?

What did you find out (using 95% CI)? Provide an interpretation.