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:

Formal Operations

The last phase of cognitive development according to Piaget's theory, marked by the capacity for abstract, logical, and systematic thinking.

Introspection

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

Egocentrism

A cognitive perspective where an individual overly focuses on their own view and fails to understand that others may have different perspectives.

Brain Development

The process of growth and change in the brain's structure and function throughout a person's life, especially significant in early years.