It Is Desired to Test $\mathrm { H } _ { 0 } : \mu = 40$

question 124

Multiple Choice

It is desired to test $\mathrm { H } _ { 0 } : \mu = 40$ against $\mathrm { H } _ { 1 } : \mu < 40$ using $\alpha = 0.10$ . The population in question is uniformly distributed with a standard deviation of 10 . A random sample of 36 will be drawn from this population. If $\mu$ is really equal to 35 , what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

• A) 0.0427
• B) 0.9573
• C) 0.4573
• D) 0.0854

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Definitions:

Reactance Theory

A psychological concept suggesting that people often have negative reactions to being forced or pressured to change their behavior, feeling a need to regain control or freedom.

Precontemplation Stage

The precontemplation stage is a phase in behavior change models where an individual is not yet considering change or is unaware of the need for change.

Introspection

The examination or observation of one's own mental and emotional processes.

Ineptness

A lack of skill, ability, or competence in a particular area.