Melatonin Valerian Placebo n=6 n=10 n=4 N=20 М-14 G=250 ΣΧ3377 М-13 M=9 T=130 T=36 SS=37 T=84 SS=60 SS=90

MATLAB: An Introduction with Applications
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A researcher is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. 

Locate the critical region. In doing so, determine the degrees of freedom values. 

**Melatonin, Valerian, and Placebo Data**

This table provides a comparison of statistics from three groups: Melatonin, Valerian, and Placebo. The data includes the number of participants, mean scores, totals, and sums of squares for each group.

**Columns:**

1. **Melatonin Group:**
   - Number of participants (n): 6
   - Mean (M): 14
   - Total (T): 84
   - Sum of Squares (SS): 60

2. **Valerian Group:**
   - Number of participants (n): 10
   - Mean (M): 13
   - Total (T): 130
   - Sum of Squares (SS): 90

3. **Placebo Group:**
   - Number of participants (n): 4
   - Mean (M): 9
   - Total (T): 36
   - Sum of Squares (SS): 37

**Overall Data:**
- Total number of participants across all groups (N): 20
- Grand total of all scores (G): 250
- Sum of squares for all participants (ΣX²): 3377

This data is useful for understanding group differences in an experimental study design, often employed in psychological and educational research.
Transcribed Image Text:**Melatonin, Valerian, and Placebo Data** This table provides a comparison of statistics from three groups: Melatonin, Valerian, and Placebo. The data includes the number of participants, mean scores, totals, and sums of squares for each group. **Columns:** 1. **Melatonin Group:** - Number of participants (n): 6 - Mean (M): 14 - Total (T): 84 - Sum of Squares (SS): 60 2. **Valerian Group:** - Number of participants (n): 10 - Mean (M): 13 - Total (T): 130 - Sum of Squares (SS): 90 3. **Placebo Group:** - Number of participants (n): 4 - Mean (M): 9 - Total (T): 36 - Sum of Squares (SS): 37 **Overall Data:** - Total number of participants across all groups (N): 20 - Grand total of all scores (G): 250 - Sum of squares for all participants (ΣX²): 3377 This data is useful for understanding group differences in an experimental study design, often employed in psychological and educational research.
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