Test a Hypothesis Regarding Three or More Means Using One $\mathrm { H } _ { 0 } : \mu _ { \mathrm { C } } = \mu _ { \mathrm { E } } = \mu _ { \mathrm { I } }$

question 34

Multiple Choice

Test a Hypothesis Regarding Three or More Means Using One -Way ANOVA
-A certain HMO is attempting to show the benefits of managed care to an insurance company. The HMO believes that certain types of doctors are more cost-effective than others. One theory is that Certification Level is an important factor in measuring the cost-effectiveness of physicians. To investigate this, the HMO obtained independent random samples of 19 physicians from each of the three certification levels-- Board certified (C) ; Uncertified, board eligible (E) ; and Uncertified, board ineligible (I) -- and recorded the total per-member, per-month charges for each (a total of 19 physicians) . In order to compare the mean charges for the three groups, the data will be subjected to an analysis of variance.
Write the null hypothesis tested by the ANOVA.

• A) \(\mathrm { H } _ { 0 } : \mu _ { \mathrm { C } } = \mu _ { \mathrm { E } } = \mu _ { \mathrm { I } }\)
• B) \(\mathrm { H } _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = 0\)
• C) \(\mathrm { H } _ { 0 } : \mu _ { \mathrm { C } } = \mu _ { \mathrm { E } } = \mu _ { \mathrm { I } } = 0\)
• D) \(\mathrm { H } _ { 0 } : \mathrm { p } 1 = \mathrm { p } 2 = \mathrm { p } 3\)

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Definitions:

Ecological-systems Perspective

A theoretical framework in psychology that emphasizes the varying systems of the environment and their impact on individual development, originally developed by Urie Bronfenbrenner.

Psychoanalytic Theorist

An individual who explores and theories about the unconscious motivations that influence human behavior, typically drawing on Freudian concepts.

Developmental Stages

Distinct phases in the life cycle of humans (and other organisms) that are characterized by specific physical, psychological, and cognitive developments.

Physical Appearance

The way an individual's body and features look to themselves and others, often influencing personal identity and social interactions.