Researchers in a clinical study collected information from
their subjects at the beginning of the study. Two of the variables were body
mass index (BMI) and age. We are interested in seeing if there is an association
between these two variables. The data from the study can be found in the fi le
Age BMI.

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. Use a theory-based approach to find the p-value.

 e. Summarize your conclusion based on the p-value reported
in part (d).

 f. If you were testing to determine if there was a positive
association between age and BMI, what is the theory-based p-value?

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