The following scores are from an independent- study comparing two treatment conditions, measures

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**Analysis of Independent-Measures Study with Two Treatments**

The dataset provided consists of scores from an independent-measures study comparing two treatment conditions. The objective is to determine whether there is a significant mean difference between these two treatments.

**Tasks:**

**a. Independent-Measures t Test**

- Use a t test with a significance level (\(\alpha\)) of 0.05.
- Determine if there is a significant mean difference between Treatment I and Treatment II.

**b. ANOVA Test**

- Use an Analysis of Variance (ANOVA) with \(\alpha = 0.05\).
- Assess whether there is a significant mean difference between the two treatments.
- Note: The result should find that \(F = t^2\).

**Data Presentation:**

- **Treatment I Scores:**  
  10, 8, 7, 9, 13, 6, 12

- **Treatment II Scores:**  
  7, 4, 9, 3, 7, 6, 10, 2

**Summary Statistics:**

- Total number of scores (\(N\)): 16
- Grand total (\(G\)): 120
- Sum of squares (\(\Sigma X^2\)): 1036

This data and analysis framework will help evaluate the effects of the two treatments, allowing determination of any significant differences in their outcomes.
Transcribed Image Text:**Analysis of Independent-Measures Study with Two Treatments** The dataset provided consists of scores from an independent-measures study comparing two treatment conditions. The objective is to determine whether there is a significant mean difference between these two treatments. **Tasks:** **a. Independent-Measures t Test** - Use a t test with a significance level (\(\alpha\)) of 0.05. - Determine if there is a significant mean difference between Treatment I and Treatment II. **b. ANOVA Test** - Use an Analysis of Variance (ANOVA) with \(\alpha = 0.05\). - Assess whether there is a significant mean difference between the two treatments. - Note: The result should find that \(F = t^2\). **Data Presentation:** - **Treatment I Scores:** 10, 8, 7, 9, 13, 6, 12 - **Treatment II Scores:** 7, 4, 9, 3, 7, 6, 10, 2 **Summary Statistics:** - Total number of scores (\(N\)): 16 - Grand total (\(G\)): 120 - Sum of squares (\(\Sigma X^2\)): 1036 This data and analysis framework will help evaluate the effects of the two treatments, allowing determination of any significant differences in their outcomes.
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