use this as a reference for questions to come: Two weeks ago, we considered the height of the runners. We found height has a mean of 64.54 inches and a standard deviation of of 3.10 inches. We evaluated two runners in particular: Fred at 4'4", and Lucy at 6'0". We found that Fred's z score is -4.04 and Lucy's z score is 2.41. We estimated the probability that a member of the runner population would be shorter (have a lower z score) than Fred, p < .001, and than Lucy, p = 0.992. Note: Fred is really extreme. In general, if a p value is so low that R estimates it as zero, you'd report p < .001. Finally, we estimated the probability that a member of the runner population would have a z score more extreme (in either direction) than Fred as p < .001. And the comparable probability for Lucy as p = 0.016. We will use these facts to perform hypothesis tests for Fred and Lucy, following the 6 steps outlined in class. In particular, we want to test the hypothesis that each person's height is unusual relative to the runners