Many older homes have electrical systems that use fuses rather than circuit breakers.A manufacturer of 40-amp fuses wantsto make sure that the mean amperage at which its fuses bum out is in fact 40.Ifthe mean amperage is lower than 40,customers will complain because the fuses require replacement too often.Ifthe 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. Ifa 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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Author:Amos Gilat
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Many older homes have electrical systems that use fuses rather than circuit breakers.A manufacturer of 40-amp fuses wantsto make sure that the mean amperage at which its fuses bum out is in fact 40.Ifthe mean amperage is lower than 40,customers will complain because the fuses require replacement too often.Ifthe 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. Ifa 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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