Two random samples are taken from private and public universities (out-of-state tuition) around the nation. The yearly tuition is recorded from each sample and the results can be found below. Test to see if the mean out-of-state tuition for private institutions is statistically significantly higher than public institutions. Assume unequal variances. Use a 1% level of significance and round answers to 4 decimal places

Private Institutions (Group 1 Public Institutions (Group ) 2) 43,120 26,469 28,190 21,450 34,490 18,347 20,893 28,560 42,984 32,592 34,750 23,871 44,897 24,120 32,198 27,450 18,432 29,100 33,981 23,870 29,498 22,650 31,980 29,143 22,764 25,379 54,190 23,450 37,756 23,871