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:

Automobile-To-Automobile Variability

Variation in characteristics or properties observed between different automobiles.

Miles Per Gallon

A measure of fuel efficiency in vehicles, representing the number of miles a vehicle can travel per gallon of fuel.

Degrees of Freedom

The number of independent pieces of information available to estimate another piece of information or the parameters of a model.

Treatments

The conditions or interventions applied to participants in an experimental study.