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 8.3 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: $$\begin{array} { l }
\mathrm { H } _ { 0 } : \mu = 8.3 \text { hours } \
\mathrm { H } _ { \mathrm { a } } : \mu 8.3 \text { hours }
\end{array}$$
Identify the Type II error.
A)Fail to reject the claim that the mean running time is 8.3 hours when actually the mean running time is greater than 8.3 hours.
B)Reject the claim that the mean running time is 8.3 hours when actually the mean running time is greater than 8.3 hours.
C)Fail to reject the claim that the mean running time is 8.3 hours when actually the mean running time is 8.3 hours.
D)Reject the claim that the mean running time is 8.3 hours when actually the mean running time is 8.3 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 8.3 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: $$\begin{array} { l } 
\mathrm { H } _ { 0 } : \mu = 8.3 \text { hours } \
\mathrm { H } _ { \mathrm { a } } : \mu > 8.3 \text { hours }
\end{array}$$
Identify the Type II error.
A)Fail to reject the claim that the mean running time is 8.3 hours when actually the mean running time is greater than 8.3 hours.
B)Reject the claim that the mean running time is 8.3 hours when actually the mean running time is greater than 8.3 hours.
C)Fail to reject the claim that the mean running time is 8.3 hours when actually the mean running time is 8.3 hours.
D)Reject the claim that the mean running time is 8.3 hours when actually the mean running time is 8.3 hours.

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis (H0) is not rejected when it is false. In this context, it means failing to detect an actual increase in the mean running time of the batteries when such an increase has indeed occurred.

Identify the Type I Error or Type II Error as Indicated