In the Past, the Mean Running Time for a Certain $H _ { 0 } : \mu = 8.3$

question 8

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:
$H _ { 0 } : \mu = 8.3$ hours
$H _ { A } : \mu > 8.3$ hours
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.

---

Definitions:

Level Material Use

The use of frequent, high-quality, small lot sizes that contribute to just-in-time production.

Large Batches

A method in manufacturing and processing where products are produced or processed in large quantities at once, aiming to achieve economies of scale.

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output generally decreasing with increasing scale.

Scheduling Optimization Systems

Software or methodologies designed to enhance the efficiency and effectiveness of scheduling resources and activities in various operations.