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. Private Institutions (Group 1 Public Institutions (Group 2) 43,120 25,469 28,190 19,450 34,490 18,347 20,893 28,560 42,984 32,592 34,750 21,871 44,897 24,120 32,198 27,450 18,432 29,100 33,981 21,870 29,498 22,650 31,980 29,143 22,764 25,379 54,190 23,450 37,756 23,871 30,129 28,745 33,980 30,120 47,909 21,190 32,200 21,540 38,120 26,346 Hypotheses: Ho: 11 (2) H:(?) What are the correct hypotheses for this problem? Ho HH HH Ho: H1 H1> Ho: H1 H1 H1= Ho: HH HH SH Ho HHHHH