People with agoraphobia are so filled with anxiety about being in public places that they seldom leave their homes. Knowing that this is a difficult disorder to treat, a researcher tried a long-term treatment. A sample of seven individuals reported how often they had ventured out of the house in the past month. Then they received relaxation training and were introduced to trips away from the house at gradually increasing durations. After 2 months of treatment, participants reported the number of trips out of the house they made in the last 30 days. The data were as follows:
Participant A B C D E F G
Before Treatment 0 0 3 3 2 0 0
After Treatment 4 0 14 23 9 8 6
Table Q6(b)
(i) Using ̑ = 0.05, perform a paired t test to determine whether the treatment has a significant effect on the number of trips a person takes. (11 marks)
(ii) Apply and construct a 95% confidence interval estimate for the mean difference in the number of trips out of the house. (5 marks)