We Have Created a 95% Confidence Interval for µ with the Result

question 134

Multiple Choice

We have created a 95% confidence interval for µ with the result (10, 15) . What decision will we make if we test H₀ : µ = 16 versus H₁ : µ ? 16 at ? = 0.10?

• A) Fail to reject H₀ in favor of H₁.
• B) Accept H₀ in favor of H₁.
• C) Reject H₀ in favor of H₁.
• D) We cannot tell what our decision will be from the information given.

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Definitions:

Gustav Fechner

A German scientist who founded psychophysics and proposed the Fechner's law, relating physical stimuli to the sensation of their intensity.

Correct Rejection

In signal detection theory, the decision to correctly identify the absence of a signal or stimulus.

Miss

To fail to hit, reach, catch, or otherwise make contact with something; can also refer to feeling sadness from the absence or loss of someone or something.

False Alarm

An error in which a warning or alert is given, but no actual threat or danger exists.