Samples Were Drawn from Three Populations $n _ { 1 } = 9 , n _ { 2 } = 6$

question 29

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 9 , n _ { 2 } = 6$ , and $n _ { 3 } = 8$ . The sample means were $\bar { x } _ { 1 } = 1.75 , \bar { x } _ { 2 } = 1.29$ , and $\bar { x } _ { 3 } = 1.49$ . The sample standard deviations were $s _ { 1 } = 0.28 , s _ { 2 } = 0.44$ , and $s _ { 3 } = 0.27$ . The grand mean is $\overline { \mathrm { x } } = 1.539565$ . Compute the sum of squares SSE.

• A) 0.7919
• B) 0.3959
• C) 3.7611
• D) 2.1055

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Definitions:

Objectively

To do something objectively means to act without bias or prejudice, considering only the factual evidence and logical conclusions rather than personal feelings or opinions.

Bruises

Discolored areas on the skin caused by trauma, which result in bleeding underneath without breaking the skin surface.

Colors

Visual perceptions created by the different wavelengths of light, characterized by properties such as hue, saturation, and brightness.

Recovery Process

The sequence of actions or stages leading to the restoration of health, functionality, or operational status after a disruption or setback.