A Researcher Claims That the Amounts of Acetaminophen in a Certain

question 82

Multiple Choice

A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the $\sigma = 3.3 \mathrm { mg }$ claimed by the manufacturer. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

• A) There is sufficient evidence to support the claim that the standard deviation is different from \(3.3 \mathrm { mg }\).
• B) There is sufficient evidence to support the claim that the standard deviation is equal to \(3.3 \mathrm { mg }\).
• C) There is not sufficient evidence to support the claim that the standard deviation is different from \(3.3 \mathrm { mg }\).
• D) There is not sufficient evidence to support the claim that the standard deviation is equal to \(3.3\) mg.

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Definitions:

Direct Liability

Direct liability refers to a legal responsibility that arises from one's own actions or failures to act, leading directly to harm or damage.

Respondeat Superior

A judicial principle that assigns legal liability to an employer or principal for the wrongful actions performed by an employee or agent, providing these actions happened in the course of their employment or representation.

Vicarious Liability

A legal principle where one party is held responsible for the actions or omissions of another, such as an employer for the actions of an employee.

Doctrine Of Respondeat Superior

A legal doctrine that holds an employer or principal liable for the wrongdoings or actions of an employee or agent, when such acts occur within the scope of employment or agency.