2. A psychologist uses a treatment method called Cognitive Behavioral Therapy (CBT) to help reduce stress among college students. She offered weekly therapy sessions to 30 college students and measured the stress level of each student before the first therapy session and again after the last therapy session. She wants to estimate the amount of stress reduction after students receive the CBT treatment. Students' average stress score changed from M, = 35 before the first therapy session to M; = 29.5 after the last therapy session. The data produced a mean difference of Mo = 5.5 and a sum of square of SSp = 426.3 for the difference scores between the two measurements. a. Use the sample data to make a point estimate of the mean difference in stress scores between the two measurements (i.e., before the first therapy session and after the last therapy session) in the population. b. Make an interval estimate of the mean difference so that you are 90% confident that the population mean difference is in your interval.

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I would like help with question 2 both A and B. 

**Transcription for Educational Website:**

---

**Study on Cognitive Behavioral Therapy (CBT) for Stress Reduction**

A psychologist implemented a treatment method known as Cognitive Behavioral Therapy (CBT) to assist college students in managing stress. This method involved weekly therapy sessions for a group of 30 students. The stress levels of these students were assessed before the commencement of the first session and after the conclusion of the final session. The objective was to quantify the stress reduction attributed to the CBT intervention.

**Stress Measurement Details:**

- **Initial Average Stress Score (M1):** 35
- **Post-Therapy Average Stress Score (M2):** 29.5
- **Mean Difference in Stress Scores (MD):** 5.5
- **Sum of Squares of Differences (SS):** 426.3

Using this data set, the psychologist aims to achieve the following:

**a. Point Estimate of Mean Difference:**

- Compute a point estimate for the mean difference in stress scores between the two measurements (initial and final sessions) across the population of interest.

**b. Confidence Interval for Mean Difference:**

- Determine an interval estimate to ensure there is 90% confidence that the true population mean difference falls within this interval.

---

This analysis serves as a basis for understanding the effectiveness of CBT in reducing stress among college students, providing insights into potential psychological interventions for stress management.
Transcribed Image Text:**Transcription for Educational Website:** --- **Study on Cognitive Behavioral Therapy (CBT) for Stress Reduction** A psychologist implemented a treatment method known as Cognitive Behavioral Therapy (CBT) to assist college students in managing stress. This method involved weekly therapy sessions for a group of 30 students. The stress levels of these students were assessed before the commencement of the first session and after the conclusion of the final session. The objective was to quantify the stress reduction attributed to the CBT intervention. **Stress Measurement Details:** - **Initial Average Stress Score (M1):** 35 - **Post-Therapy Average Stress Score (M2):** 29.5 - **Mean Difference in Stress Scores (MD):** 5.5 - **Sum of Squares of Differences (SS):** 426.3 Using this data set, the psychologist aims to achieve the following: **a. Point Estimate of Mean Difference:** - Compute a point estimate for the mean difference in stress scores between the two measurements (initial and final sessions) across the population of interest. **b. Confidence Interval for Mean Difference:** - Determine an interval estimate to ensure there is 90% confidence that the true population mean difference falls within this interval. --- This analysis serves as a basis for understanding the effectiveness of CBT in reducing stress among college students, providing insights into potential psychological interventions for stress management.
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