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In: Statistics and Probability

A new form of cognitive therapy has been developed to treat the symptoms of depression. To...

A new form of cognitive therapy has been developed to treat the symptoms of depression. To determine the effectiveness of the treatment, one group of individuals was exposed to the experimental treatment (Treatment Group) and a second unique group was not exposed to the new treatment (Control Group). The values below represent the Beck Depression Inventory (BDI) scores for the groups. The BDI is a widely used tool for screening depression, and higher scores indicate higher reported levels of depression.

Treatment Group

14 14 14 15 15 17 17 18 18 19

20 20 20 21 22 23 23 23 24 26

26 26 26 27 27 28 28 29 30 30

Control Group

15 15 17 19 19 20 21 22 22 23

24 24 24 24 24 25 25 25 26 26

27 27 27 29 29 29 30 31 31 32

34 34

1. What is the mean BDI score for the treatment group?

2.What is the mean BDI score for the control group?

3.What is the sum of squared deviations for the Treatment Group?

4.What is the sum of squared deviations for the Control Group?

5.Conduct a hypothesis test to determine whether the sample data provide evidence for a difference in the respective populations. Use a two-tailed test and an alpha level of .05. Be sure to include all steps in the hypothesis testing process. Report your findings in the following format:


Step 1
Ho:
Step 2
Identify critical value
Step 3
Report pooled variance
Report error term
Report test statistic (t score)
Step 4
Make a decision
Please show your work step by step so I can understand please and thank you! I will rate!

A new form of cognitive therapy has been developed to treat the symptoms of depression. To determine the effectiveness of the treatment, one group of individuals was exposed to the experimental treatment (Treatment Group) and a second unique group was not exposed to the new treatment (Control Group). The values below represent the Beck Depression Inventory (BDI) scores for the groups. The BDI is a widely used tool for screening depression, and higher scores indicate higher reported levels of depression.

Treatment Group

14 14 14 15 15 17 17 18 18 19

20 20 20 21 22 23 23 23 24 26

26 26 26 27 27 28 28 29 30 30

Control Group

15 15 17 19 19 20 21 22 22 23

24 24 24 24 24 25 25 25 26 26

27 27 27 29 29 29 30 31 31 32

34 34

1. What is the mean BDI score for the treatment group?

2.What is the mean BDI score for the control group?

3.What is the sum of squared deviations for the Treatment Group?

4.What is the sum of squared deviations for the Control Group?

5.Conduct a hypothesis test to determine whether the sample data provide evidence for a difference in the respective populations. Use a two-tailed test and an alpha level of .05. Be sure to include all steps in the hypothesis testing process. Report your findings in the following format:


Step 1
Ho:
Step 2
Identify critical value
Step 3
Report pooled variance
Report error term
Report test statistic (t score)
Step 4
Make a decision
Please show your work step by step so I can understand please and thank you! I will rate!

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