The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. The histograms below display the distributions of hours worked per week for two education groups: those with and without a college degree. Suppose we want to estimate the average difference between the number of hours worked per week by all Americans with a college degree and those without a college degree. Summary information for each group is shown in the tables.

(a) What is the parameter of interest, and what is the point estimate?

(b) Are conditions satisfied for estimating this difference using a confidence interval?

(c) Create a 95% confidence interval for the difference in a number of hours worked between the two groups, and interpret the interval in context.

(d) Can you think of any real-world justification for your results? (Note: There isn't a single correct answer to this question.)

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200 - College degree 100 College degree 41.8 hrs Mean 40 60 80 SD 15.1 hrs 505 250 No college degree No college degree Mean 39.4 hrs 125- SD 15.1 hrs n 667 20 40 60 80 Hours worked per week 20 200 - College degree 100 College degree 41.8 hrs Mean 40 60 80 SD 15.1 hrs 505 250 No college degree No college degree Mean 39.4 hrs 125- SD 15.1 hrs n 667 20 40 60 80 Hours worked per week 20