4 Art therapy is a common tool to use with children who have

4. Art therapy is a common tool to use with children who have a hard time bonding with a therapist and opening up during therapy sessions. Dr. Contos wants to examine if children who participate in art therapy (M=16.48, SD=2.67) score lower on levels of anxiety(0-25) than children who participate in other forms of therapy (M=18.11, SD=2.58). She interviews 25 children in each group for a total of 50 children. (Total 29 pts) A. What are the independent and dependent variables and how are each scaled (1 pt each; Total 4 pts)? Independent:________________________ Scaling:_____________________________ Dependent:__________________________ Scaling:_____________________________ B. What test should Dr. Contos use (4 pts)? C. Why that test (2 pts)? D. What are the null and alternative hypotheses for that test (4 pts)? E. What are that tests assumptions (3 pts)? Normal distribution, Independent observations, Equal Variances F. What are the df (2 pts)?________________________ G. What is the critical value for p=.05 (2 pts)? _________________________ H. If Audi calculates a test statistic of 4.76, should they (2 pts)? Retain H0 Reject H0 I. Interpret the findings (6 pts):

Solution

Dependent Effect of therapy B) paired t test C) comparison of two therapies for children D) H0: mu1 = mu2 and Ha: mu1 >mu2 E) Independent observations F) df = 24 g) crit value 1.318 H) 4.76>1.318 reject null hypothesis I) There is no evidence to prove that other therapy increases the score