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In the Past, the Mean Running Time for a Certain H0:μ=8.0 hours Ha:μ>8.0 hours \begin{array} { l } \mathrm { H } _ { 0 } : \mu = 8.0 \text { hours } \\\mathrm { H } _ { \mathrm { a } } : \mu > 8.0 \text { hours }\end{array}

Question 1

Multiple Choice

In the past, the mean running time for a certain type of flashlight battery has been 8.0 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: H0:μ=8.0 hours Ha:μ>8.0 hours \begin{array} { l } \mathrm { H } _ { 0 } : \mu = 8.0 \text { hours } \\\mathrm { H } _ { \mathrm { a } } : \mu > 8.0 \text { hours }\end{array}
Explain the meaning of a Type II error.


A) Concluding that μ>8.0\mu > 8.0 hours when in fact μ>8.0\mu > 8.0 hours
B) Failing to reject the hypothesis that μ=8.0\mu = 8.0 hours when in fact μ>8.0\mu > 8.0 hours
C) Concluding that μ>8.0\mu > 8.0 hours
D) Failing to reject the hypothesis that μ=8.0\mu = 8.0 hours when in fact μ=8.0\mu = 8.0 hours 110

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