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:

Intraocular Pressure

The fluid pressure inside the eye, crucial for maintaining the shape of the eye and proper functioning of the visual system.

Refractory Error

Visual impairments caused by the eye's inability to focus light directly on the retina, resulting in blurred vision.

Acute Central Vision

The component of vision that is responsible for sharp, detailed vision straight ahead, primarily used for activities like reading and driving.

Middle Ear

The air-filled central part of the ear behind the eardrum, containing the ossicles that transmit sound vibrations to the inner ear.