A researcher wanted to see whether there were any differences in the effectiveness of one-on-one versus small-group cognitive behavior therapy for treating social anxiety disorder. 62 participants were randomly assigned to the two conditions, resulting in 31 per group. The mean and standard deviation for the one-on-one group were 14.6 and 5.4, respectively. The mean and standard deviation for the small group condition were 12.7 and 6.8, respectively. 1. Is this a between-groups or within-groups design? 2. What is the value of t? 3. Should you use a 1-tailed or 2-tailed test? 4. What are the degrees of freedom (df) for this study? 5. What is the critical value of t for alpha level of .05 for your study (use table in PowerPoint)? 6. Was there a significant difference between the groups? Justify your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher wanted to see whether there were any differences in the effectiveness of one-on-one
versus small-group cognitive behavior therapy for treating social anxiety disorder. 62 participants were
randomly assigned to the two conditions, resulting in 31 per group. The mean and standard deviation
for the one-on-one group were 14.6 and 5.4, respectively. The mean and standard deviation for the
small group condition were 12.7 and 6.8, respectively.
1. Is this a between-groups or within-groups design?
2. What is the value of t?
3. Should you use a 1-tailed or 2-tailed test?
4. What are the degrees of freedom (df) for this study?
5. What is the critical value of t for alpha level of .05 for your study (use table in PowerPoint)?
6. Was there a significant difference between the groups? Justify your answer.
Transcribed Image Text:A researcher wanted to see whether there were any differences in the effectiveness of one-on-one versus small-group cognitive behavior therapy for treating social anxiety disorder. 62 participants were randomly assigned to the two conditions, resulting in 31 per group. The mean and standard deviation for the one-on-one group were 14.6 and 5.4, respectively. The mean and standard deviation for the small group condition were 12.7 and 6.8, respectively. 1. Is this a between-groups or within-groups design? 2. What is the value of t? 3. Should you use a 1-tailed or 2-tailed test? 4. What are the degrees of freedom (df) for this study? 5. What is the critical value of t for alpha level of .05 for your study (use table in PowerPoint)? 6. Was there a significant difference between the groups? Justify your answer.
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