For each of the following problems, identify what statistical procedure you would need to use to answer the question.
| Analysis Choices | ||
|---|---|---|
| 1-sample t-test | 2-sample t-test | Paired t-test |
| 1-sample t-interval | 2-sample t-interval | Paired t-interval |
| 1 proportion Z-test | 2-proportions Z-test | Chi-square test |
| 1 proportion Z-interval | 2-proportions Z-interval | |
In doing so, consider:
Also, for any problem requiring a hypothesis test, specify the null and alternative hypotheses.
1. What percentage of Penn State students smoke cigars?
2. Do seniors earn higher semester grade point averages than freshmen?
3. Is there a difference in the percentage of NCAA football players who
graduate and NCAA basketball players who graduate?
4. Do a higher percentage of Alaskans commit suicide than non-Alaskans?
5. How many hours per week do PSU students study outside of class?
6. Do PSU students drink, on average, more than 1 cup of coffee per day
per finals week? (During finals week, a sample of students will record how many
cups of coffee they drink each day.)
7. How much more prevalent is lupus in women than in men?
8. Is there a relationship between political affiliation (Democrat and Republican) and opinion on gun control?
9. How much heavier (in pounds) are 15-year old boys than 13-year old boys?
10. Do Goodyear tires have better tread wear than Firestone tires? Tread wear is measured in millimeters of tread remaining after 30,000 miles. Thirty cars are selected for the experiment. On each car, one Goodyear tire and one Firestone tire is placed randomly in one of two front positions.
11. A random sample of 64 students were asked: "Do you study regularly at Pattee? Yes or no." What statistical procedure(s) would allow us to make a statement about students' study habits?
12. To what extent are male students heavier than female students?
13. How many times each semester do Penn State students go home each semester?