Now use a repeated-measures t-test with α =.05 to evaluate the mean difference between treatments. t-critical=± t=

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Now use a repeated-measures t-test with α =.05 to evaluate the mean difference between treatments.

t-critical=±

t=

 
# Statistical Analysis Table Explanation

## Data Overview
This table displays data from a study where six persons (A-F) were subjected to two different treatments (I and II). The table includes individual scores for each treatment, their totals, and the differences between the scores of Treatment II and Treatment I. Additionally, means, totals, and sum of squares are calculated for various sections.

### Columns and Rows Description

1. **Treatment Person:** This row lists the six individuals taking part in the study, denoted from A to F.

2. **Scores under Treatment I and II:**
    - **I (Treatment I):** The scores each person received under Treatment I.
    - **II (Treatment II):** The scores each person received under Treatment II.

3. **Totals:** The sum of each individual's scores from Treatments I and II.

4. **Differences (II-I):** The difference between each individual's scores in Treatment II and Treatment I, denoted as (II - I).

5. **Mean, Total, and Sum of Squares:**
    - **Mean:** The average score for each treatment.
      - **M=9** for Treatment I.
      - **M=11** for Treatment II.
      - **M=20** for Totals.
    - **Total:** The sum of all scores.
      - **T=54** for Treatment I.
      - **T=66** for Treatment II.
      - **G=120** for Totals.
    - **Sum of Squares (SS):** Represents the dispersion of data points.
      - **SS=498** for Treatment I.
      - **SS=764** for Treatment II.
      - **ΣXᵢ² = 2470** for Totals.
    - **Differences:**
      - **ΣD=12**: The sum of all differences.
      - **SSD=54**: The sum of squared differences.

### Detailed Cells Description
1. **Scores for Each Person:**
    - **A:**
      - Treatment I: 11
      - Treatment II: 13
      - Total: 24
      - Difference: 2
    - **B:**
      - Treatment I: 8
      - Treatment II: 7
      - Total: 15
      - Difference: -1
    - **C:**
      - Treatment I: 10
      - Treatment
Transcribed Image Text:# Statistical Analysis Table Explanation ## Data Overview This table displays data from a study where six persons (A-F) were subjected to two different treatments (I and II). The table includes individual scores for each treatment, their totals, and the differences between the scores of Treatment II and Treatment I. Additionally, means, totals, and sum of squares are calculated for various sections. ### Columns and Rows Description 1. **Treatment Person:** This row lists the six individuals taking part in the study, denoted from A to F. 2. **Scores under Treatment I and II:** - **I (Treatment I):** The scores each person received under Treatment I. - **II (Treatment II):** The scores each person received under Treatment II. 3. **Totals:** The sum of each individual's scores from Treatments I and II. 4. **Differences (II-I):** The difference between each individual's scores in Treatment II and Treatment I, denoted as (II - I). 5. **Mean, Total, and Sum of Squares:** - **Mean:** The average score for each treatment. - **M=9** for Treatment I. - **M=11** for Treatment II. - **M=20** for Totals. - **Total:** The sum of all scores. - **T=54** for Treatment I. - **T=66** for Treatment II. - **G=120** for Totals. - **Sum of Squares (SS):** Represents the dispersion of data points. - **SS=498** for Treatment I. - **SS=764** for Treatment II. - **ΣXᵢ² = 2470** for Totals. - **Differences:** - **ΣD=12**: The sum of all differences. - **SSD=54**: The sum of squared differences. ### Detailed Cells Description 1. **Scores for Each Person:** - **A:** - Treatment I: 11 - Treatment II: 13 - Total: 24 - Difference: 2 - **B:** - Treatment I: 8 - Treatment II: 7 - Total: 15 - Difference: -1 - **C:** - Treatment I: 10 - Treatment
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Step 2

The degree of freedom can be calculated as:

Statistics homework question answer, step 2, image 1

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