Assume That a Hypothesis Test of the Given Claim Will $\sigma = 3.3$

question 57

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
-A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the $\sigma = 3.3$ claimed by the manufacturer. Identify the type II error for the test.

• A)The error of rejecting the claim that the standard deviation is more than 3.3 mg when it really is more than 3.3 mg.
• B)The error of failing to reject the claim that the standard deviation is 3.3 mg when it is actually different from 3.3 mg.
• C)The error of rejecting the claim that the standard deviation is 3.3 mg when it really is 3.3 mg.

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Definitions:

Factual Analysis

Examination of data to discover verifiable facts and establish their validity.

Hypothesis

A testable prediction or statement about the relationship between two or more variables that can be tested through research.

Variables

Variables are characteristics or properties that can take on different values or categories in a research study, such as age, gender, income, etc., crucial for analyzing patterns and relationships.

Ontological Questions

Questions related to the nature of being, existence, or the structure of reality.