Question
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
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 | 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:
H0: 1 = 2
H1: 1 > 2
Identify the test statistic. Round to 4 decimal places.
t =___
___
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