A. State the Null and Alternate Hypotheses B. Compute the F-ratio and make a decision using an a = .05 c. Compute and interpret the effect size for this experiment
A. State the Null and Alternate Hypotheses B. Compute the F-ratio and make a decision using an a = .05 c. Compute and interpret the effect size for this experiment
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Mood Score Data from Yoga Class Study**
In this study, volunteers participated in a yoga class three times per week for three weeks. Mood scores for three participants were collected weekly and are presented in the table below.
| Subject | Week 1 | Week 2 | Week 3 | P-totals |
|---------|--------|--------|--------|----------|
| A | 3 | 4 | 5 | 12 |
| B | 1 | 4 | 6 | 11 |
| C | 2 | 1 | 6 | 9 |
**Summary Statistics:**
- For Subject B:
- Total (T) = 15
- Sum of Squares (SS) = 2
- For Subject C:
- Total (T) = 15
- Sum of Squares (SS) = 2
- Grand Total (G) = 27
- Sum of all squared scores (Σx²) = 108
**Analysis Tasks:**
A. **State the Null and Alternate Hypotheses:**
- Null Hypothesis (H₀): There is no significant change in mood scores over the three weeks of yoga practice.
- Alternate Hypothesis (H₁): There is a significant change in mood scores over the three weeks of yoga practice.
B. **Compute the F-ratio and Make a Decision Using α = 0.05:**
- The F-ratio calculation involves comparing the variance between group means to the variance within the groups, using the given totals and sum of squares values. An α level of 0.05 indicates a 5% risk of concluding that a difference exists when there is none.
C. **Compute and Interpret the Effect Size for this Experiment:**
- Effect size quantifies the magnitude of the difference irrespective of sample size. It helps in understanding the practical significance of the results beyond the p-values.
The calculations for B and C will require additional statistical techniques and context-specific assumptions.
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