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
30,129 28,745
33,980 30,120
47,909 21,190
32,200 21,540
38,120 27,346
Hypotheses:
H0: μ1 = μ2
H1: μ1 > μ2
Identify the p-value. Round to 4 decimal places. Make sure you put the 0 in front of the decimal.
p-value=