At the beginning of the semester, students in a statistics class were asked to give their estimates of how much their professor weighed (in pounds) and his height (in inches). We want to see if students who give large estimates for height will they also give large estimates for weight. In other words, is there are positive association between these two variables. Th e data from the study can be found in the file HeightWeight. (Th e professor actually weighed about 160 pounds and was 72 inches tall.)
a. Describe the population slope in the context of the study and assign a symbol to it.
b. State the appropriate null and alternative hypotheses in terms of the population slope using the symbol used in part (a).
c. Is a theory-based test appropriate? Why or why not?
d. Regardless of your answer to the previous question, use a theory-based approach to find the p-value to test the hypotheses stated in part (b). Report and interpret this p value in the context of the study.