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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 a 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? HoiH > 40 H: µ = 40 o Ho: H = 40 H:u < 40 O Ho: H = 40 H: µ > 40 Ho: H< 40 H:µ = 40 O Ho: H = 40 H: µ # 40 Describe type I error in the context of this problem situation. O A type I error would be declaring a fuse to be satisfactory when in fact it is defective. O A type I error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type I error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. O A type I error would be declaring a fuse as being defective when in fact the fuse is defective. Describe type II error in the context of this problem situation. O A type II error would be declaring a fuse to be satisfactory when in fact it is defective. O A type II error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type II error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse.

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 a 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? HoiH > 40 H: µ = 40 o Ho: H = 40 H:u < 40 O Ho: H = 40 H: µ > 40 Ho: H< 40 H:µ = 40 O Ho: H = 40 H: µ # 40 Describe type I error in the context of this problem situation. O A type I error would be declaring a fuse to be satisfactory when in fact it is defective. O A type I error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type I error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. O A type I error would be declaring a fuse as being defective when in fact the fuse is defective. Describe type II error in the context of this problem situation. O A type II error would be declaring a fuse to be satisfactory when in fact it is defective. O A type II error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type II error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 ou 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? Но: и > 40 H: u = 40 Ho: H = 40 Hai u < 40 HoiH= 40 H: u > 40 Hoiu < 40 Ha: u = 40 HoiH = 40 H: u + 40 Describe type I error in the context of this problem situation. O A type I error would be declaring a fuse to be satisfactory when in fact it is defective. O A type I error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type I error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. A type I error would be declaring a fuse as being defective when in fact the fuse is defective. Describe type II error in the context of this problem situation. O A type II error would be declaring a fuse to be satisfactory when in fact it is defective. A type II error would be declaring a fuse to be satisfactory when in fact it is satisfactory. A type II error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. A type II error would be declaring a fuse as being defective when in fact the fuse is defective.
Transcribed Image Text: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 ou 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? Но: и > 40 H: u = 40 Ho: H = 40 Hai u < 40 HoiH= 40 H: u > 40 Hoiu < 40 Ha: u = 40 HoiH = 40 H: u + 40 Describe type I error in the context of this problem situation. O A type I error would be declaring a fuse to be satisfactory when in fact it is defective. O A type I error would be declaring a fuse to be satisfactory when in fact it is satisfactory. O A type I error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. A type I error would be declaring a fuse as being defective when in fact the fuse is defective. Describe type II error in the context of this problem situation. O A type II error would be declaring a fuse to be satisfactory when in fact it is defective. A type II error would be declaring a fuse to be satisfactory when in fact it is satisfactory. A type II error would be declaring a fuse as being defective when in fact there is nothing wrong with the fuse. A type II error would be declaring a fuse as being defective when in fact the fuse is defective.
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