In the Past,the Mean Battery Life for a Certain Type

question 12

Multiple Choice

In the past,the mean battery life for a certain type of flashlight battery has been 9.5 hours.The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean battery life has increased as a result.The hypotheses are:
: μ = 9.5 hours
: μ > 9.5 hours
Explain the result of a Type II error.

• A)The manufacturer will not decide the mean battery life is greater than 9.5 hours when in fact it is greater than 9.5 hours.
• B)The manufacturer will decide the mean battery life is greater than 9.5 hours when in fact it is 9.5 hours.
• C)The manufacturer will decide the mean battery life is greater than 9.5 hours when in fact it is greater than 9.5 hours.
• D)The manufacturer will decide the mean battery life is 9.6 hours lower than it was prior to the change in the production method.
• E)The manufacturer will decide the mean battery life is 8.1 hours greater than it was prior to the change in the production method.

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Definitions:

Dependent Variable

A variable in an experiment or model that is expected to change in response to changes in the independent variable.

Independent Variables

Variables in an experiment or model that are manipulated or varied by the researcher to determine their effect on the dependent variable.

First-Order Model

A first-order model in dynamics or control theory refers to a system whose behavior is described by a first-order differential equation, showing how the system's output responds over time to changes in input.

Unit Increase

A single increment of increase in the value or level of a variable or measurement.