In a study to see if there was an association between weight loss and the amount of a certain protein in a person’s body fat, the researchers measured a number of different attributes in their 39 subjects at the beginning of the study. The article reported, “These subjects were clinically and ethnically heterogeneous.” Two of the variables they measured were body mass index (BMI) and blood glucose levels and the results are in the file BMIGlucose. We are interested in seeing if there is an association between BMI and glucose levels.
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.

e. Summarize your conclusion based on the p-value reported in part (d).
f. If you were testing to determine whether there was a positive association between BMI and glucose levels, what is the theory-based p-value?