In a study to see if there was an association between weight
loss and the amount of a certain protein in a personâ€™s body fat, the
researchers measured a number of different attributes in their 39 subjects at
the beginning of the study. The article reported, â€œThese subjects were
clinically and ethnically heterogeneous.â€ Two of the variables they measured
were body mass index (BMI) and blood glucose levels and the results are in the
fi le 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.
Â 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?
Â 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).
Â f. If you were testing to determine whether there was a
positive association between BMI and glucose levels, what is the theory-based