Samples Were Drawn from Three Populations $n _ { 1 } = 5 , n _ { 2 } = 7$

question 34

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 5 , n _ { 2 } = 7$ and $n _ { 3 } = 5$ The sample means were $\bar { x } _ { 1 } = 1.43 , \bar { x } _ { 2 } = 1.85 , \text { and } \bar { x } _ { 3 } = 1.38$ The sample standard deviations were $s _ { 1 } = 0.31 , s _ { 2 } = 0.40 , \text { and } s _ { 3 } = 0.38$
The grand mean is $\overline { \bar { x } } = 1.588235$
Compute the mean squares MSE.

• A) 0.8216
• B) 0.4108
• C) 0.1373
• D) 1.9220

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Definitions:

Respondents

Individuals who answer or respond to surveys, questionnaires, or interviews in a research study.

Researcher

An individual who conducts systematic investigation into and study of materials and sources in order to establish facts and reach new conclusions.

Demographic Data

Information about the characteristics of a population or specific groups within it, such as age, gender, income level, and education.

Ethnographic Data

Information collected through observation, interviews, and recordings in the context of a cultural or social group, used to understand practices, behaviors, and beliefs.