Paired sample t tests Math Homework

Please show all work !!!!!!! Paired sample t tests

1.A researcher suspects that college students test anxiety decreases the longer they are in college. After freshmen year a random sample of six students were selected and took the College Test Anxiety Questionnaire (CTAQ). Three years later these same six students complete the CTAQ again folloing their senior year. The data are as follows.

Person Freshman Year Senior Year

a 5 1

b 7 3

c 8 5

d 7 4

e 5 5

a State the research hypothesis, and the null hypothesis.

b. Using what you know, identify the appropriate statistical test, can perform the necessary calculations.

c. Does college student test anxiety decrease the longer they are in college? State your results in APA style.

2. People with agoraphobia are so filled with anxiety, about being in public places, they rarely leave their homes. Knowing that this is a difficult disorder to treat, a researcher tries a long term treatment. A sample of individuals report how often they have ventured out of their house in the last month. Then they receive relaxation training and are introduced to trips away from their homes at gradually increasing durations. After 2 months participants report again how often they left the house in the last 30 days.

The data are as follows.

Person Before treatment after treatment

a 0 4

b 0 0

c 3 14

d 3 23

e 2 9

f 0 8

g 2 6

a State the research hypothesis, and the null hypothesis.

b. Using what you know, identify the appropriate statistical test, can perform the necessary calculations.

c. Does the treatment have a significant effect on the number of trips a person takes? State your results in APA style.