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Refer to Exhibit 13-12. The mean square within treatments (MSE) equals 736 60 900 2,250

Refer to Exhibit 13-12. The mean square within treatments (MSE) equals 736 60 900 2,250

MATLAB: An Introduction with Applications
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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### Exhibit 13-12 - **SSTR (Sum of Squares for Treatment)**: 736 - **SSE (Sum of Squares for Error)**: 900 - **Total Sample Size (\(n_T\))**: 18 #### Hypotheses - **Null Hypothesis (\(H_0\))**: \(\mu_1 = \mu_2 = \mu_3\) - **Alternative Hypothesis (\(H_a\))**: At least one mean is different --- **Question:** Refer to Exhibit 13-12. The mean square within treatments (MSE) equals _____. **Options:** - 736 - 60 - 900 - 2,250 **Explanation:** Mean Square Error (MSE) is calculated by dividing the Sum of Squares for Error (SSE) by the degrees of freedom for error. The degrees of freedom for error is usually the total number of observations minus the number of groups. In this case, with 18 total observations and assuming 3 groups, the MSE can be calculated to determine the correct option.
Transcribed Image Text:### Exhibit 13-12 - **SSTR (Sum of Squares for Treatment)**: 736 - **SSE (Sum of Squares for Error)**: 900 - **Total Sample Size (\(n_T\))**: 18 #### Hypotheses - **Null Hypothesis (\(H_0\))**: \(\mu_1 = \mu_2 = \mu_3\) - **Alternative Hypothesis (\(H_a\))**: At least one mean is different --- **Question:** Refer to Exhibit 13-12. The mean square within treatments (MSE) equals _____. **Options:** - 736 - 60 - 900 - 2,250 **Explanation:** Mean Square Error (MSE) is calculated by dividing the Sum of Squares for Error (SSE) by the degrees of freedom for error. The degrees of freedom for error is usually the total number of observations minus the number of groups. In this case, with 18 total observations and assuming 3 groups, the MSE can be calculated to determine the correct option.
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