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. 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 1) Plot the Probability plots for each treatment level. Are they normally distributed?. 2) 2) Write the null hypothesis and the alternative hypothesis. 3) Find the ANOVA table. (round to five decimal places). 4) 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 :
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.
| 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 |
1) Plot the Probability plots for each treatment level. Are they
2)
2) Write the null hypothesis and the alternative hypothesis.
3) Find the ANOVA table. (round to five decimal places).
4) 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
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