In the Past, the Mean Running Time for a Certain $\mathrm { H } _ { 0 } : \mu = 9.8$

question 56

Multiple Choice

In the past, the mean running time for a certain type of flashlight battery has been 9.8 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:
$\mathrm { H } _ { 0 } : \mu = 9.8$ hours
$\mathrm { H } _ { \mathrm { a } } : \mu > 9.8 \text { hours }$
Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean running time has not increased.

• A) Type I error
• B) Type II error
• C) Correct decision

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Definitions:

Hormones

Chemical messengers produced by glands in the body, transported in the bloodstream, affecting physiological activities.

Coping

The process of managing taxing circumstances, expending effort to solve life's problems, and seeking to minimize or tolerate stress or conflict.

Physiological Responding

The body's automatic reactions to stimuli, including changes in heart rate, hormone levels, and brain activity.

Maladaptive Methods

Strategies or behaviors that are ineffective or counterproductive in managing situations or meeting needs, often worsening the situation or condition.