In the Past, the Mean Running Time for a Certain $8.3$

question 6

Multiple Choice

In the past, the mean running time for a certain type of flashlight battery has been $8.3$ hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:
$\begin{array} { l } H _ { 0 } : \mu = 8.3 \text { hours } \\H _ { A } : \mu > 8.3 \text { hours }\end{array}$
Explain the result of a Type I error.

• A) The manufacturer will decide the mean battery life is less than \(8.3\) hours when in fact it is greater than \(8.3\) hours.
• B) The manufacturer will decide the mean battery life is greater than \(8.3\) hours when in fact it is less than \(8.3\) hours.
• C) The manufacturer will decide the mean battery life is greater than \(8.3\) hours when in fact it is greater than \(8.3\) hours.
• D) The manufacturer will decide the mean battery life is \(8.3\) hours when in fact it is greater than \(8.3\) hours.
• E) The manufacturer will decide the mean battery life is greater than \(8.3\) hours when in fact it is \(8.3\) hours.

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Definitions:

Adaptation

The process by which individuals, species, or groups adjust to changes in their environment, ensuring survival or improved functionality.

External Context

The surrounding conditions or circumstances external to a specific focus or object of study.

Environment

The surroundings or conditions in which a person, animal, or plant lives or operates, encompassing both natural and built environments.

Structural Functionalism

A viewpoint in sociology that views society as an intricate system in which its components cooperate to foster unity and steadiness.