Asked by
Deshawn Butler
on Oct 11, 2024
Verified
In the past,the mean battery life for a certain type of flashlight battery has been 8.8 hours. 8.8 \text { hours. }8.8 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean battery life has increased as a result.The hypotheses are: H0 : ? = 8.8 hours
HA : ? > 8.8 hours
Explain the result of a Type I error.
A) The manufacturer will decide the mean battery life is 8.8 hours when in fact it is greater than 8.8 hours.
B) The manufacturer will decide the mean battery life is 9.6 hours greater than it was prior to the change in the production method.
C) The manufacturer will decide the mean battery life is 9.6 hours lower than it was prior to the change in the production method.
D) The manufacturer will decide the mean battery life is greater than 8.8 hours when in fact it is greater than 8.8 hours.
E) The manufacturer will decide the mean battery life is greater than 8.8 hours when in fact it is 8.8 hours.
Type I Error
The error made in statistical hypothesis testing when a true null hypothesis is incorrectly rejected.
Mean Battery Life
The average length of time a battery can power a device before needing to be recharged or replaced, calculated from a set of samples or tests.
Production Method
The technique or process used in the creation of goods or services, varying widely across different industries and products.
- Identify the repercussions of Type I and Type II errors in the context of hypothesis assessment.
Verified Answer
SS
Learning Objectives
- Identify the repercussions of Type I and Type II errors in the context of hypothesis assessment.