MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:**Study Overview:**
A cognitive psychologist is investigating whether the type of music played at gyms affects the number of days participants attend the gym over a month. Four different gyms, each with a unique musical format, are selected for this study. Eight gym members are randomly chosen from each gym, and their attendance is tracked for 30 days.
**ANOVA Summary Table:**
The table below outlines the Analysis of Variance (ANOVA) used to analyze the data. The significance level is set at \(\alpha = 0.02\).
| Source | SS | df | MS | F | P |
|----------|-----|----|------|-------|----|
| Between | | | 13.64| 2.788 | |
| Within | | | | | |
| TOTAL | | | | | |
**Explanation of Table Columns:**
- **Source:** Identifies the source of variance (Between and Within groups are typically analyzed).
- **SS (Sum of Squares):** Represents the variability in the data.
- **df (Degrees of Freedom):** Details the number of values that can vary for each source of variance.
- **MS (Mean Square):** Calculated by dividing SS by df for each source, indicating the average variance.
- **F (F-ratio):** A statistic used to determine if the means between groups are significantly different.
- **P:** The p-value, used to decide whether to reject the null hypothesis at a specific significance level.
The table is currently incomplete and requires additional data for SS, df, and potentially P. This information will reveal whether music type significantly affects gym attendance.
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