Assume That a Hypothesis Test of the Given Claim Will $\mu$

question 47

Multiple Choice

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test
-The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, $\mu$ , of $50 ^ { \circ } \mathrm { F }$ , ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. Identify the type I error for the test.

• A) The error of failing to reject the claim that the mean temperature equals \(50 ^ { \circ } \mathrm { F }\) when it is really different from \(50 ^ { \circ } \mathrm { F }\).
• B) The error of rejecting the claim that the mean temperature equals \(50 ^ { \circ } \mathrm { F }\) when it really does equal \(50 ^ { \circ } \mathrm { F }\).
• C) The error of rejecting the claim that the mean temperature equals \(50 ^ { \circ } \mathrm { F }\) when it is really different from \(50 ^ { \circ } \mathrm { F }\).

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Definitions:

Candle Flame

The visible, luminous part of a candle that produces light and heat from the combustion of the candle’s fuel.

Absolute Threshold

The minimum intensity of a stimulus that one can detect 50% of the time.

Psychophysical Threshold

The minimum level of stimulus intensity needed for detection by sensory systems.

Subliminal Stimuli

Stimuli that are below the threshold of conscious perception, often used in reference to messages that are not consciously detected but can impact behavior.