A clinical psychologist wanted to examine the relative effectiveness of cognitive-behavioral therapy (CBT) and behavioral therapy (BT) for depression. A sample of 20 depression patients were randomly selected and assigned to either of the two therapy methods. The data below presents the effectiveness rated by independent judges. Test whether one method is better than the other at .05 significance level (non-directional) by answering the following questions? CBT: 4, 8, 5, 7, 6, 9, 8, 6, 7, 8 BT: 3, 5, 4, 8, 6, 2, 4, 6, 5, 7 1) Present the hypotheses 2) Other than assumptions about sampling and normal distribution, what other assumptions are made for this test? 3) What are the df and the critical value for this test? 4 4) Provide Sum of squares (SS). Then, using the SS, compute the variance for the CBT. You MUST show the process of how you got the variance from SS (if you do NOT show a valid process, no credit is assigned) 5) Provide Sum of squares (SS). Then, using the SS, compute the variance for the BT. You MUST show the process of how you got the variance from SS (if you do NOT show a valid process, no credit is assigned) 6) What is t_observed in your computation? Provide the numerator and denominator values as well Numerator: Denominator: t_observed:

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A clinical psychologist wanted to examine the relative effectiveness of cognitive-behavioral therapy (CBT) and behavioral therapy (BT) for depression. A sample
of 20 depression patients were randomly selected and assigned to either of the two therapy methods. The data below presents the effectiveness rated by
independent judges. Test whether one method is better than the other at .05 significance level (non-directional) by answering the following questions?
CBT: 4, 8, 5, 7, 6, 9, 8, 6, 7, 8
BT: 3, 5, 4, 8, 6, 2, 4, 6, 5, 7
1) Present the hypotheses
2) Other than assumptions about sampling and normal distribution, what other assumptions are made for this test?
3) What are the df and the critical value for this test?
4) Provide Sum of squares (SS). Then, using the SS, compute the variance for the CBT. You MUST show the process of how you got the variance from SS (if you
do NOT show a valid process, no credit is assigned)
5) Provide Sum of squares (SS). Then, using the SS, compute the variance for the BT. You MUST show the process of how you got the variance from SS (if you do
NOT show a valid process, no credit is assigned)
6) What is t_observed in your computation? Provide the numerator and denominator values as well
Numerator:
Denominator:
t_observed:
7) What are the decision and the interpretation for your result? (
Transcribed Image Text:A clinical psychologist wanted to examine the relative effectiveness of cognitive-behavioral therapy (CBT) and behavioral therapy (BT) for depression. A sample of 20 depression patients were randomly selected and assigned to either of the two therapy methods. The data below presents the effectiveness rated by independent judges. Test whether one method is better than the other at .05 significance level (non-directional) by answering the following questions? CBT: 4, 8, 5, 7, 6, 9, 8, 6, 7, 8 BT: 3, 5, 4, 8, 6, 2, 4, 6, 5, 7 1) Present the hypotheses 2) Other than assumptions about sampling and normal distribution, what other assumptions are made for this test? 3) What are the df and the critical value for this test? 4) Provide Sum of squares (SS). Then, using the SS, compute the variance for the CBT. You MUST show the process of how you got the variance from SS (if you do NOT show a valid process, no credit is assigned) 5) Provide Sum of squares (SS). Then, using the SS, compute the variance for the BT. You MUST show the process of how you got the variance from SS (if you do NOT show a valid process, no credit is assigned) 6) What is t_observed in your computation? Provide the numerator and denominator values as well Numerator: Denominator: t_observed: 7) What are the decision and the interpretation for your result? (
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