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

question 48

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 6 , n _ { 2 } = 9$ , and $n _ { 3 } = 8$ . The sample means were $\bar { x } _ { 1 } = 1.52 , \bar { x } _ { 2 } = 1.62$ , and $\bar { x } _ { 3 } = 1.65$ . The sample standard deviations were $s _ { 1 } = 0.50 , s _ { 2 } = 0.36$ , and $s _ { 3 } = 0.48$ . The grand mean is $\bar { x } = 1.604348$ .
Compute the value of the test statistic $F$ .

• A) 0.158
• B) 0.031
• C) 3.900
• D) 0.062

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Definitions:

Job Satisfaction

The level of contentment or happiness an individual feels regarding their job, influenced by various factors such as work environment, compensation, and personal fulfillment.

Internal Locus of Control

The belief that one has control over their life and outcomes, as opposed to external forces determining one’s fate.

Self-Esteem

An individual's subjective evaluation of their own worth or value, often based on self-perception and social comparison.

Neuroticism

A personality trait characterized by emotional instability, anxiety, moodiness, irritability, and sadness.