Identify the Type I error or Type II error as indicated.
-In the past, the mean running time for a certain type of flashlight battery has been 8.9 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: $$\begin{array} { l }
\mathrm { H } _ { 0 } : \mu = 8.9 \text { hours } \
\mathrm { H } _ { \mathrm { a } } : \mu 8.9 \text { hours }
\end{array}$$
Identify the Type I error.
A)Reject the claim that the mean running time is 8.9 hours when actually the mean running time is greater than 8.9 hours.
B)Reject the claim that the mean running time is 8.9 hours when actually the mean running time is 8.9 hours.
C)Fail to reject the claim that the mean running time is 8.9 hours when actually the mean running time is greater than 8.9 hours.
D)Fail to reject the claim that the mean running time is 8.9 hours when actually the mean running time is 8.9 hours.

Question

Identify the Type I error or Type II error as indicated.
-In the past, the mean running time for a certain type of flashlight battery has been 8.9 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: $$\begin{array} { l } 
\mathrm { H } _ { 0 } : \mu = 8.9 \text { hours } \
\mathrm { H } _ { \mathrm { a } } : \mu > 8.9 \text { hours }
\end{array}$$
Identify the Type I error.
A)Reject the claim that the mean running time is 8.9 hours when actually the mean running time is greater than 8.9 hours.
B)Reject the claim that the mean running time is 8.9 hours when actually the mean running time is 8.9 hours.
C)Fail to reject the claim that the mean running time is 8.9 hours when actually the mean running time is greater than 8.9 hours.
D)Fail to reject the claim that the mean running time is 8.9 hours when actually the mean running time is 8.9 hours.

Quizplus · Accepted Answer

A Type I error occurs when the null hypothesis ($H_0$) is rejected when it is actually true. In this scenario, rejecting the claim that the mean running time is 8.9 hours when it actually is 8.9 hours represents a Type I error.

Identify the Type I Error or Type II Error as Indicated