A Random Sample of 5 Observations Was Drawn from a Normal

question 3

Essay

A random sample of 5 observations was drawn from a normal population.These were: 18,16,10,13,and 23.Test the hypotheses:
H₀: $\sigma ^ { 2 } \leq 20$ H₁: $\sigma ^ { 2 } > 20$ at the 10% significance level.
Test statistic = ____________________
Critical Value = ____________________
Conclusion: ____________________
Interpretation: _________________________________________________

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Definitions:

Transtheoretical Model

A theory outlining stages of change in behavior, used to understand and guide individuals through the process of making a health-related change.

Transtheoretical Model

A theory of behavior change that describes the process of intentional change through distinct stages.

Stages of Change

A psychological model that outlines an individual's journey towards changing behavior, typically presented in five or six stages including precontemplation, contemplation, preparation, action, maintenance, and sometimes relapse.

Motivational Stages

The various phases an individual goes through in the process of changing behavior, typically modeled within theories such as the stages of change model.