The out-of-state tuitions (in dollars) for random samples of both public and private four-year colleges in a New England state are listed. Find the 95% confidence interval for the difference in the means. Assume the variables are normally distributed and the variances are unequal. Round sample statistics and final answer to two decimal places.
Private
13,600 16,590
23,400 19,024
14,150 13,600
17,300 16,590
Public
7,050 6,450
7,050 9,000
9,758 7,871
9,113 16,100
15,820 9,000
Source: New York Times Almanac.
Use μ1 for the mean out-of-state tuition of private colleges.
The 95% confidence interval for the difference of the means is
$ < μ1 - μ2 < $ .