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?it should be in regular language

2. What is the research hypothesis (two-tailed t-test)?Write it in regular language

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?Write it in regular language

7. Democrats and Republicans were surveyed on their support of gun control legislation using a standardized measure (high scores representing greater support of gun control). Using the data provided, calculate t.

Democrats Republicans

N = 50 N = 50

Mean = 6.0 Mean = 4.9

Standard Deviation = 1.2 Standard Deviation = 1.4

A researcher, under the guise of a participant, joined two "singles clubs" to test the advertised superiority of one over the other. He observed several patrons from each club and noted their dating status (single or dating) after one month in the club. The data are as follows:

Club A Club B

Number Observed 126 157

Number "Dating" 41 74

Test the hypothesis that Club B is more successful in initiating acquaintances than Club A. Use = .05, 2-tailed.