Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 15-amp fuses wants to make sure that the mean amperage at which its fuses burn out is in fact 15. If the mean amperage is lower than 15, customers will complain because the fuses require replacement too often. If the mean amperage is higher than 15, the manufacturer might be liable for damage to an electrical system as a result of fuse malfunction. To verify the mean amperage of the fuses, a sample of fuses is selected and tested. If a hypothesis test is performed using the resulting data, what null and alternative hypotheses would be of interest to the manufacturer?

Question

Mathematics

Jorge Palmer

21 June, 01:00

Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 15-amp fuses wants to make sure that the mean amperage at which its fuses burn out is in fact 15. If the mean amperage is lower than 15, customers will complain because the fuses require replacement too often. If the mean amperage is higher than 15, the manufacturer might be liable for damage to an electrical system as a result of fuse malfunction. To verify the mean amperage of the fuses, a sample of fuses is selected and tested. If a hypothesis test is performed using the resulting data, what null and alternative hypotheses would be of interest to the manufacturer?

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Answers (1)

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Essence Hull · Answer 1

h0 : u = 15 amps

h1 : u ¥ 15 amps

Note: h0 is the null hypothesis

h1 is the alternative hypothesis

u is the mean

¥ is used to represent 'not equal to'