Many older homes have electrical systems that use fusesrather than circuit breakers. A manufacturer of 40-ampfuses wants to make sure that the mean amperage atwhich its fuses burn out is in fact 40. If the mean amperageis lower than 40, customers will complain becausethe fuses require replacement too often. If the meanamperage is higher than 40, the manufacturer might beliable for damage to an electrical system due to fusemalfunction. To verify the amperage of the fuses, asample of fuses is to be selected and inspected. If ahypothesis test were to be performed on the resultingdata, what null and alternative hypotheses would be ofinterest to the manufacturer? Describe type I and type IIerrors in the context of this problem situation
Many older homes have electrical systems that use fuses
rather than circuit breakers. A manufacturer of 40-amp
fuses wants to make sure that the mean amperage at
which its fuses burn out is in fact 40. If the mean amperage
is lower than 40, customers will complain because
the fuses require replacement too often. If the mean
amperage is higher than 40, the manufacturer might be
liable for damage to an electrical system due to fuse
malfunction. To verify the amperage of the fuses, a
sample of fuses is to be selected and inspected. If a
hypothesis test were to be performed on the resulting
data, what null and alternative hypotheses would be of
interest to the manufacturer? Describe type I and type II
errors in the context of this problem situation
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