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 our sample will be higher or lower than the U.S. national average.

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.