To solve this, we need to calculate SSW (Sum of Squares Within), which represents the variation within each group in the study (i.e., the variance in study hours within the three methods).

Given that the SSTOT (Total Sum of Squares) and SSBET (Sum of Squares Between) are provided, we can find SSW using the formula:

$SSW = SSTOT - SSBET$

Step 1: Substitute the given values

We are given:

• SSTOT = 1086
• SSBET = 735.839

Now calculate SSW:

$SSW = 1086 - 735.839$

$SSW = 350.161$

Conclusion:

$SSW = 350.161$

This satisfies the condition that: $SSTOT = SSBET + SSW$ $1086 = 735.839 + 350.161$

The equation holds true. Therefore, the value of SSW is 350.161 (rounded to three decimal places).

Would you like more details about how these sums of squares are calculated or any further questions about this process?

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Here are five relative questions:

1. How do you compute the Sum of Squares Between (SSBET)?
2. What is the purpose of calculating the Sum of Squares Within (SSW)?
3. How does the Analysis of Variance (ANOVA) use SSTOT, SSBET, and SSW?
4. Can you explain the difference between variance within groups and variance between groups?
5. How would you interpret the significance of this test based on the SSW value?

Tip: When performing statistical analyses, always verify that the sums of squares add up correctly, as it's a key step to ensure consistency in your calculations.