In a survey of Hope College students, two of the questions
asked were their current grade point average (GPA) and how much sleep they got
(in hours) on the previous school night. The data can be found in the fi le
Sleep GPA. Letâ€™s explore whether or not there is evidence of a strong
association between these two variables.
Â a. What is the value of the correlation? Based on this
number, does it appear there is a strong association between our two variables?
Â b. What is the value of the slope of the regression line?
What does this number mean in terms of sleep and GPA?
c. State the appropriate null and alternative hypotheses.
Â d. Conduct a simulation analysis with 1,000 repetitions.
What is your p-value?
e. Based on your p-value, is there evidence of a strong
association between sleep and GPA for Hope College students?
f. There should be some conflict between your estimate of
the strength of association in part (a) and your answer to part (e). Why did
that occur with this data set?