Question

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 eut 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 lable for damage to an electrical system due to fuse malfunction. To verity 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? Ho 40 H < 40 He: - 40 Hg 40 N > 40 H -40 Describe type I error in the context of this problem situation A type I error would be declaring a fuse to be satisfactory when in fact it is defective. A type l error would be deciaring a fuse to be satisfactory when in fact it is satifactory. A type l eror would be dedaring a fuse as being defective when in fact there is nothing wrong with the fuse. OA type I emror would be dedaring a fuse as being defective when in fact the fuse is defective. Describe type 1I1 error in the context of this problem situation. A type Il error would be deciaring a fuse to be satisfactory when in fact it is defective. OA type Il error would be declaring a fuse to be satisfactory when in fact it is satisfactory A type 1l error would be deciaring a fuse as being defective when in fact there s nothing wreng with the fuse OA type Il error wouid be declaring a fuse as being defective when in fact the fuse is defective Need Help? Read

Answer 1

We need to test if mean is lower than 40. Hence,,

Hypotheses: Option A is correct.

Type I error: Rejecting the true null hypothesis: Option C is correct.

Type II error: Not rejecting the false null hypothesis: Option A is correct.