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
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:
H
0: μ = 9.7 hours
H
a: μ > 9.7 hours
where μ is the mean running time of the new batteries . Explain the meaning of a Type I error.
◦ A Type I error would occur if, in fact, μ = 9.7 hours, but the results of the sampling do not lead to rejection of that fact.
◦ A Type I error would occur if, in fact, μ > 9.7 hours, but the results of the sampling lead to the conclusion that μ < 9.7 hours.
◦ A Type I error would occur if, in fact, μ = 9.7 hours, but the results of the sampling lead to the conclusion that μ > 9.7 hours.
◦ A Type I error would occur if, in fact, μ > 9.7 hours, but the results of the sampling fail to lead to that conclusion.
Type II Tissue Specific Reactions
Simmon's Citrate Test
Switching of mating type in haploid yeast cells
Normal and abnormal corneal light reflection test
The Turing Test
Combination of arrangement and sequence is correct