1.A researcher tests an intervention that may change a student's math anxiety. The math anxiety test has a of 60 and of 6. A sample of 50 students is given this intervention and their math anxiety is tested. The mean of their math anxiety is 57.

Test the hypothesis (=.05, one-tailed) that the new technique reduced the students' math anxiety?

2. I am interested in the effect of a new form of psychotherapy on self-esteem. My self-esteem scale yields =9, and =2. I randomly select a group of 10 patients, give them the new therapy and assess their self-esteem.

Perform the appropriate test ( = .05, one-tailed). Did the new therapy improve self-esteem?

X

10

11

4

8

6

7

7

11

4

10

3. I am still interested in the effect of a new form of psychotherapy on self-esteem, using the data in #3. My self-esteem scale yields =7, but I do not know . I randomly select a group of 10 patients, give them the new therapy and assess their self-esteem.

Perform the appropriate ( = .05, one-tailed). Did the new therapy improve self-esteem?

4.I am interested in the effect of meditation on anxiety. I have a standardized test of anxiety with = 12. I randomly select a group of 9 participants and have them meditate every day for 90 days. Then I test their anxiety The data are below.

Perform the appropriate test ( = .05, one-tailed). Did the meditation significantly affect anxiety?

X

7

6

11

8

8

9

4

10

8