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 difference between the average 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.
Statistic | College Degree | No College Degree |
Mean | 42.3 hours | 39.6 hours |
SD | 15.5 hours | 15.4 hours |
n | 517 | 632 |
1. Create a 95% confidence interval for the difference in number of hours worked between the two groups. Round results to four decimal places.
( , )
The statistical software output for this problem is :
A 95% confidence interval for the difference in number of hours worked between the two groups is :
(0.9017 , 4.4983)
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