A social worker is interested in examining how people who have higher levels of psychological resiliency respond after a natural disaster. She obtained anxiety scores, which were measured on a scale...

A social worker is interested in examining how people who have higher levels of psychological resiliency respond after a natural disaster. She obtained anxiety scores, which were measured on a scale of 1–12 with higher numbers meaning more anxiety, from eight individuals who had experienced a natural disaster. She collected these scores 3 weeks after the disaster (M=7.13, s=2.03) and 6 months after the disaster (M=3.5, s=1.6). She expected that the anxiety scores at 6 months would be much lower than at 3 weeks. If sD = 1.30 and you use a two-tailed test with an alpha of .05, is there a difference? Perform the 4 steps of hypothesis testing.

Anxiety at 3 weeks                                Anxiety at 6 months:

 9                                                                          6
10                                                                        5
5                                                                          2
4                                                                          3
8                                                                          4
7                                                                          3
6                                                                          1
8                                                                          4