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For the given hypothesis test, explain the meaning of a Type I error, a Type II error, or a correct decision as specified.
For the given hypothesis test, explain the meaning of a Type I error, a Type II error, or a correct decision as specified.
In the past, the mean running time for a certain type of flashlight battery has been 8.5 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 = 8.5 hours
Ha: μ > 8.5 hours
Explain the meaning of a Type I error.
a)Concluding that μ = 8.5 hours when in fact μ > 8.5 hours
b)Concluding that μ < 8.5 hours when in fact μ > 8.5 hours
c)Concluding that μ > 8.5 hours when in fact μ > 8.5 hours
d)Concluding that μ > 8.5 hours when in fact μ = 8.5 hours
