The file EarningsByDegree contains data from random samples of 50 American adults taken in the year 2000 in each of five categories of higher educational achievement:
• Some higher education
• Associate degree
• Bachelor’s degree
• Master’s degree
• Doctorate
The response variable is the individual’s yearly earnings, in thousands of dollars.
a. Produce graphical displays for comparing yearly earnings across the five education levels.
b. Calculate numerical summaries of the yearly earnings values for each of the fi ve higher education levels.
c. Write a paragraph or two comparing and contrasting the distributions of yearly earnings values across the five higher education levels.
d. Perform a simulation-based analysis of whether the sample data provide strong evidence to believe that average earnings diff er across the fi ve education levels in the population.

e. Perform a theory-based analysis of whether the sample data provide strong evidence to believe that average earnings differ across the five education levels in the population.
f. If you find strong evidence that the population means are not all the same, produce confidence intervals to determine which groups diff er significantly from which other groups.
g. Write a summary paragraph specifically responding to these three questions:
• Is more higher education associated with greater earnings?
• If so, how much do earnings increase with higher levels of education?
• Which degree is associated with the largest increase in earnings over the preceding degree level?