[Solution Library] Bay Area University enrolls MBA students in three cohort programs: Weeknight, Saturday, and Distance. Dean Ed Epstein wants to know if there
Question: Bay Area University enrolls MBA students in three cohort programs: Weeknight, Saturday, and Distance. Dean Ed Epstein wants to know if there is a difference in the average of the students in the three programs. He has his assistant take a random sample of 5 students from each program and record their ages.
| Weeknight | Saturday | Distance |
| 29 | 32 | 25 |
| 27 | 33 | 24 |
| 30 | 31 | 24 |
| 27 | 34 | 25 |
| 28 | 30 | 26 |
- State the Null hypothesis and the Research hypothesis to be tested
- Calculate the grand average.
- Calculate the between-sample variability.
- Calculate the within-sample variability.
- Calculate the F statistic.
- Should the Null hypothesis be rejected at the 5% level of significance?
- Draw box plots for the different programs.
- Using the least-significant difference test, identify the significant differences between the programs.
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