Time to Complete a Degree: A researcher wanted to determine if the mean time to complete a bachelor’s degree was different depending on the selectivity of the first institution of higher education that was attended. The following data represent a random sample of 12th-graders in 1992 who earned their degree by December 2000. ) What is your decision about the null hypothesis, consider ?. 5) If your decision in part (4) was reject , perform Tukey test to determine which pairwise means are significantly different using a familywise error rate of : 5.a) How many pairwise comparisons are possible among the treatment levels?. 5.b) Compute
Time to Complete a Degree: A researcher wanted to determine if the mean time to complete a bachelor’s degree was different depending on the selectivity of the first institution of higher education that was attended. The following data represent a random sample of 12th-graders in 1992 who earned their degree by December 2000.
) What is your decision about the null hypothesis, consider ?.
5) If your decision in part (4) was reject , perform Tukey test to determine which pairwise means are significantly different using a familywise error rate of :
5.a) How many pairwise comparisons are possible among the treatment levels?.
5.b) Compute and .
5.c) Compute the test statistic, , for each pairwise comparison.
5.d) Write the null hypothesis and the alternative hypothesis for each pairwise comparison.
5.e) What is your decision about the null hypotheses, Explain your answers.
| Highly Selective | Selective | Nonselective | Open-door | Not Rated |
| 2.6 | 3.1 | 4.7 | 5 | 4.5 |
| 4.1 | 3.8 | 4.2 | 7.3 | 5.5 |
| 3.4 | 5.2 | 5.7 | 5.6 | 5.5 |
| 4.3 | 4.5 | 2.3 | 6.9 | 4.6 |
| 3.9 | 4 | 4.5 | 5.1 | 4.1 |
| 2.5 | 4.6 | 4.7 | 5.9 | 5.1 |
| 5.1 | 4.3 | 2.3 | 4.2 | 4.3 |
| 4.3 | 4.4 | 4.3 | 6.4 | 4.4 |
| 4.8 | 4 | 4.2 | 5.6 | 3.8 |
| 5.5 | 4.1 | 5.1 | 6 |
4.7
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