The administration at a university is interested in studying if any relationship exists between satisfaction at the school and whether the student is a freshman or a senior
The school randomly surveys 10 freshmen and 10 seniors and asks them to rate how satisfied they are at the school on a scale of 1–10, where 10 is extremely satisfied and 1 is extremely dissatisfied. Here is the collected data:
Freshmen Seniors
9 8
7 5
7 8
5 3
8 4
7 9
6 6
7 7
8 7
3 2
1. What is the null hypothesis?
2. What is the research hypothesis (two-tailed t-test)?
3. Calculate t.
4. What are the degrees of freedom?
5. Are the results significant, why or why not?
6. What are your conclusions about the null hypothesis?
1. There is no relationship between being a freshman or senior and satisfaction at
the university in the population, or µ freshmen = µ seniors.
2. A relationship exists between being a freshman or senior and satisfaction at the
university in the population, or µ freshmen ? µ seniors.
3. t = .876
4. 10 + 10 - 2 = 18
5. The results are not significant at any level in Table B of Appendix C because .876 < 1.330
6. We fail to reject the null. There appears to be no relationship between being a
freshman or senior and satisfaction at the university in the population.
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