In the Past, the Mean Running Time for a Certain $8.4$

question 12

Multiple Choice

In the past, the mean running time for a certain type of flashlight battery has been $8.4$ 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:
$\begin{array} { l } H _ { 0 } : \mu = 8.4 \text { hours } \\H _ { A } : \mu > 8.4 \text { hours }\end{array}$
Explain the result of a Type II error.

• A) The manufacturer will decide the mean battery life is greater than \(8.4\) hours when in fact it is greater than \(8.4\) hours.
• B) The manufacturer will decide the mean battery life is less than \(8.4\) hours when in fact it is greater than \(8.4\) hours.
• C) The manufacturer will decide the mean battery life is \(8.4\) hours when in fact it is \(8.4\) hours.
• D) The manufacturer will decide the mean battery life is \(8.4\) hours when in fact it is greater than \(8.4\) hours.
• E) The manufacturer will decide the mean battery life is greater than \(8.4\) hours when in fact it is \(8.4\) hours.

---

Definitions:

Notecards

Small cards used for recording information for personal reminders, speech delivery aids, or study purposes.

Single Words

Individual words that contain meaning and can stand alone as a complete expression.

Standard Template

A pre-designed structure or format used to create documents or presentations efficiently by providing a uniform layout.

Multimedia Presentation

A presentation that uses a combination of different content forms such as text, audio, images, animations, or video to convey information.